In this study,a numerical method based on the Pell-Lucas polynomials(PLPs)is developed to solve the fractional order HIV/AIDS epidemic model with a treatment compartment.The HIV/AIDS mathematical model with a treatmen...In this study,a numerical method based on the Pell-Lucas polynomials(PLPs)is developed to solve the fractional order HIV/AIDS epidemic model with a treatment compartment.The HIV/AIDS mathematical model with a treatment compartment is divided into five classes,namely,susceptible patients(S),HIV-positive individuals(I),individuals with full-blown AIDS but not receiving ARV treatment(A),individuals being treated(T),and individuals who have changed their sexual habits sufficiently(R).According to the method,by utilizing the PLPs and the collocation points,we convert the fractional order HIV/AIDS epidemic model with a treatment compartment into a nonlinear system of the algebraic equations.Also,the error analysis is presented for the Pell-Lucas approximation method.The aim of this study is to observe the behavior of five populations after 200 days when drug treatment is applied to HIV-infectious and full-blown AIDS people.To demonstrate the usefulness of this method,the applications are made on the numerical example with the help of MATLAB.In addition,four cases of the fractional order derivative(p=1,p=0.95,p=0.9,p=0.85)are examined in the range[0,200].Owing to applications,we figured out that the outcomes have quite decent errors.Also,we understand that the errors decrease when the value of N increases.The figures in this study are created in MATLAB.The outcomes indicate that the presented method is reasonably sufficient and correct.展开更多
This study investigates the application of the two-parameter Weibull distribution in modeling state holding times within HIV/AIDS progression dynamics. By comparing the performance of the Weibull-based Accelerated Fai...This study investigates the application of the two-parameter Weibull distribution in modeling state holding times within HIV/AIDS progression dynamics. By comparing the performance of the Weibull-based Accelerated Failure Time (AFT) model, Cox Proportional Hazards model, and Survival model, we assess the effectiveness of these models in capturing survival rates across varying gender, age groups, and treatment categories. Simulated data was used to fit the models, with model identification criteria (AIC, BIC, and R2) applied for evaluation. Results indicate that the AFT model is particularly sensitive to interaction terms, showing significant effects for older age groups (50 - 60 years) and treatment interaction, while the Cox model provides a more stable fit across all age groups. The Survival model displayed variability, with its performance diminishing when interaction terms were introduced, particularly in older age groups. Overall, while the AFT model captures the complexities of interactions in the data, the Cox model’s stability suggests it may be better suited for general analyses without strong interaction effects. The findings highlight the importance of model selection in survival analysis, especially in complex disease progression scenarios like HIV/AIDS.展开更多
A non-linear HIV-TB co-infection has been formulated and analyzed. The positivity and invariant region has been established. The disease free equilibrium and its stability has been determined. The local stability was ...A non-linear HIV-TB co-infection has been formulated and analyzed. The positivity and invariant region has been established. The disease free equilibrium and its stability has been determined. The local stability was determined and found to be stable under given conditions. The basic reproduction number was obtained and according to findings, co-infection diminishes when this number is less than unity, and persists when the number is greater than unity. The global stability of the endemic equilibrium was calculated. The impact of HIV on TB was established as well as the impact of TB on HIV. Numerical solution was also done and the findings indicate that when the rate of HIV treatment increases the latent TB increases while the co-infected population decreases. When the rate of HIV treatment decreases the latent TB population decreases and the co-infected population increases. Encouraging communities to prioritize the consistent treatment of HIV infected individuals must be emphasized in order to reduce the scourge of HIV-TB co-infection.展开更多
This paper considers the problem of the HIV/AIDS Infection Process filtering characterized by three compounds, namely, the number of healthy T-cells, the number of infected T-cells and free virus particles. Only the f...This paper considers the problem of the HIV/AIDS Infection Process filtering characterized by three compounds, namely, the number of healthy T-cells, the number of infected T-cells and free virus particles. Only the first and third of them can be measurable during the medical treatment process. Moreover, the exact parameter values are admitted to be also unknown. So, here we deal with an uncertain dynamic model that excludes the application of classical filtering theory and requires the application of robust filters successfully working in the absence of a complete mathematical model of the considered process. The problem is to estimate the number of infected T-cells based on the available information. Here we admit the presence of stochastic “white noise” in current observations. To do that we apply the Luenberger-like filter (software sensor) with a matrix gain, which should be adjusted at the beginning of the process in such a way that the filtering error would be as less as possible using the Attractive Ellipsoid Method (AEM). It is shown that the corresponding trajectories of the filtering error converge to an ellipsoidal set of a prespecified form in mean-square sense. To generate the experimental data sequences in the test-simulation example, we have used the well-known simplified HIV/ AIDS model. The obtained results confirm the effectiveness of the suggested approach.展开更多
Objective: This study aims to understand the distribution of pathogenic bacteria in the region of HIV/AIDS patients with opportunistic infection. Methods: To count the number of the bacterial culture of HIV/AIDS patie...Objective: This study aims to understand the distribution of pathogenic bacteria in the region of HIV/AIDS patients with opportunistic infection. Methods: To count the number of the bacterial culture of HIV/AIDS patients in our hospital from October 2011 to December 2014, and observe the distribution of all kinds of pathogenic bacteria. Results: From the 4269 cases of HIV/AIDS patients’ bacteria, 5045 cases were cultured whose main flora distribution wasCandida albicans, 1759 cases. The second one was penicillium, 982 cases. The third one was mycobacteria, 557 cases. And then there are 213 cases ofCryptococcus neoformans, 212 cases of?Klebsiella pneumonia, 209 cases of?E. coli, 157 cases of coagulase-negative staphylococci, 112 cases of?Candida tropicalis, 90 cases of glabrata, 81 cases of?Staphylococcus aureus, 75 cases of?Pseudomonas aeruginosa, 60 cases of Salmonella, 48 cases of Acinetobacter and the distribution of the rest of cultured bacterial was less than 40 cases. Conclusion: There are many kinds of types of Pathogenic bacteria in HIV/AIDS patients with the opportunity to infectious. And the majorities are?Candida albicans,?Penicillium marneffei,?Penicillium,?Mycobacterium,?Cryptococcus neoformans?and so on. The infection sites are widely distributed;respiratory and circulatory are the main infected system. Improving the detection rate and reducing the contamination rate can truly reflect the distribution of pathogenic bacteria, and the distribution can guide the infection work in hospital. At the same time, it’s good to predict and prevent opportunistic infection. Thus, the patients can get immediate treatment.展开更多
Objective:To assess the usefulness of IGRA test(QuantiFERON? -Cell mediated immune) compared with the tuberculin skin test.Methods:A cross-sectional study was carried out in Mexico,25 infected patients with HIV-AIDS a...Objective:To assess the usefulness of IGRA test(QuantiFERON? -Cell mediated immune) compared with the tuberculin skin test.Methods:A cross-sectional study was carried out in Mexico,25 infected patients with HIV-AIDS and the suspicion or with latent tuberculous infection (LTBI) who were】18 years of age and without treatment for tuberculosis(TB),were enrolled in the study.Results:Median cluster of differentiation(CD4) count was 364 cells/μL and median HIV viral load was 50 copies/mL.Overall,20 patients(80%) had at least one positive diagnostic test for LTBI:four(16%) had a positive tuberculin skin test and 19(76%),a positive QuantiFERON ? -tuberculosis.Conclusions:No agreement is found between the two diagnostic tests:k = -0.004,95%confidence interval(-0.2219,0.2210).Additional longitudinal studies among HIV-infected populations with high prevalence of TB are needed to further assess the usefulness of IGRAs in this patient population.展开更多
In order to find out the effect of human (sexual) behavior change and immigration in spreading the HIV/AIDS, a deterministic model of HIV/AIDS with infective immigration is formulated. First, basic properties of the m...In order to find out the effect of human (sexual) behavior change and immigration in spreading the HIV/AIDS, a deterministic model of HIV/AIDS with infective immigration is formulated. First, basic properties of the model, including non-negativity and boundedness of the solutions, existence of the endemic equilibrium and the basic reproduction number, R0 are analyzed. The geometrical approach is used to obtain the global asymptotic stability of endemic equilibrium. Then the basic model is extended to include several control efforts aimed at reducing infection and changing behavior. Pontryagin’s maximum principle is used to derive the optimality system and solve the system numerically. Our numerical findings are illustrated through simulations using MATLAB, which shows reliability of our model from the practical point of view.展开更多
This study was designed to identify and characterize the Candida species isolated from lower respiratory tract infections among HIV positive patients and to determine the prevalence rates of Candida infections among t...This study was designed to identify and characterize the Candida species isolated from lower respiratory tract infections among HIV positive patients and to determine the prevalence rates of Candida infections among these subjects. Two early morning expectorate sputum samples were collected from 272 HIV positive subjects visiting the ART clinics and DOTS centre with cases of lower respiratory tract infection, over a period of 14 months from May 2009 to July 2010 in Calabar. Subjects were recruited for this study upon approval by the Ethical Research Committee of the University of Calabar Teaching Hospital and obtaining written informed consent from the patients. Samples were processed by standard methods for isolation of Candida. Speciation was done by a germ tube test, chlamydospore production on corn meal agar and sugar fermentation and assimilation tests using the Microexpress Candida identification kit (Tulip, India). Out of the 544 sputum samples collected from 272 subjects, Candida species were isolated from 40 (14.7%) and identified after confirming the growth in the second sample. The majority of Candida species among the Candida isolates were Candida albicans (80%) followed by Candida tropicalis 5 (12.5%), Candida dubliniensis 2 (5.0%) and Candida guilliermondii 1 (2.5%). The isolation rate of Candida species from sputum samples was found to be highest among subjects aged 25 - 34 years, followed by those aged 15 - 24 years. Twenty (7.3%) HIV seropositive subjects had bacterial infections, while 4 (1.5%) subjects had mixed fungal and bacterial infections. This study is the first of its kind to be carried out in Calabar and the South-South geopolitical region of Nigeria, and has shown that pulmonary candidiasis is a health problem among HIV positive patients in Calabar.展开更多
<b><span style="font-family:Verdana;">Introduction:</span></b><span> <i></i></span><i><i><span style="font-family:Verdana;">Mycobac...<b><span style="font-family:Verdana;">Introduction:</span></b><span> <i></i></span><i><i><span style="font-family:Verdana;">Mycobacterium tuberculosis</span></i><span></span></i><span style="font-family:Verdana;"> (TB) infect</span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">s</span></span></span><span><span><span style="font-family:;" "=""><span style="font-family:Verdana;"> about one quarter of the global population and is transmitted via aerosols by coughing, sneezing, etc. Some socio-behavioral factors may predispose an individual to the disease. </span><b><b><span style="font-family:Verdana;">Methodology:</span></b><span style="font-family:Verdana;"></span></b> <span style="font-family:Verdana;">The study used a cross-sectional design with random stratified sampling technique. Sputum samples from suspected TB patients totaling 600 were obtained from patients attending directly observed treatment (DOTs) centers from different local government areas in Bayelsa. The sputum samples were examined for tuberculosis using the Ziehl-Neelsen </span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;">staining technique and Gene Xpert molecular method while HIV/AIDS tests were carried out with EDTA blood using the Alere HIV12 test kit and others.</span> </span><b><b><span style="font-family:Verdana;">Results:</span></b><span style="font-family:Verdana;"></span></b></span><b> </b><span style="font-family:Verdana;">The Prevalence of TB by Gene Xpert was 294 (49.0%) and by AFB 217 (36.1%), while TB/HIV co</span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">-</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">infection was 94 (32.0%), RRMTB was 34 (11.9%) and HIV 249 (41.5%). Prevalence by age group showed the 20</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;"> - </span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">39 years had the highest prevalence of TB 98 (47.0%), TB/HIV 35 (47.0%), RRMTB 17 (48.0%) and HIV 90 (57.0%). By gender the male </span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">had </span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">slightly higher prevalence of TB 109 (52.0%), TB/HIV 51 (54.0%), RRMTB 20 (56.0%) and HIV 126 (51.0%)</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;"> than the female</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">. Prevalence among smokers and alcoholics</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;"> and</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;"> subjects who engaged in both habits had high prevalence TB 109 (37.0%), TB/HIV 14 (40.0%), RRMTB 14 (40.0%) and HIV 72 (29.0%). For educational status those with tertiary and secondary education had similar high prevalence and for occupation, the self</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">-</span></span></span><span><span><span style="font-family:;" "=""><span style="font-family:Verdana;">employed and civil servants had similar elevated prevalence. The prevalence by local government area showed that Yenegoa had the highest with TB 235 (80.0%), TB/HIV 72 (76.6%), RRMTB 24 (68.5%) and HIV 202 (81.2%). <b></b></span><b><b><span style="font-family:Verdana;">Conclusion: </span></b><span style="font-family:Verdana;"></span></b></span><span><span style="font-family:Verdana;">An increase in the development of resistance by </span><i></i></span><i><i><span style="font-family:Verdana;">M. tuberculosis</span></i><span></span></i><span style="font-family:Verdana;"> also contributes to the persistence of the disease as well as some socio-economic factors.</span></span></span>展开更多
This study investigates the impact of various factors on the lifespan and diagnostic time of HIV/AIDS patients using advanced statistical techniques. The Power Chris-Jerry (PCJ) distribution is applied to model CD4 co...This study investigates the impact of various factors on the lifespan and diagnostic time of HIV/AIDS patients using advanced statistical techniques. The Power Chris-Jerry (PCJ) distribution is applied to model CD4 counts of patients, and the goodness-of-fit test confirms a strong fit with a p-value of 0.6196. The PCJ distribution is found to be the best fit based on information criteria (AIC and BIC) with the smallest negative log-likelihood, AIC, and BIC values. The study uses datasets from St. Luke hospital Uyo, Nigeria, containing HIV/AIDS diagnosis date, age, CD4 count, gender, and opportunistic infection dates. Multiple linear regression is employed to analyze the relationship between these variables and HIV/AIDS diagnostic time. The results indicate that age, CD4 count, and opportunistic infection significantly impact the diagnostic time, while gender shows a nonsignificant relationship. The F-test confirms the model's overall significance, indicating the factors are good predictors of HIV/AIDS diagnostic time. The R-squared value of approximately 72% suggests that administering antiretroviral therapy (ART) can improve diagnostic time by suppressing the virus and protecting the immune system. Cox proportional hazard modeling is used to examine the effects of predictor variables on patient survival time. Age and CD4 count are not significant factors in the hazard of HIV/AIDS diagnostic time, while opportunistic infection is a significant predictor with a decreasing effect on the hazard rate. Gender shows a strong but nonsignificant relationship with decreased risk of death. To address the violation of the assumption of proportional hazard, the study employs an assumption-free alternative, Aalen’s model. In the Aalen model, all predictor variables except age and gender are statistically significant in relation to HIV/AIDS diagnostic time. The findings provide valuable insights into the factors influencing diagnostic time and survival of HIV/AIDS patients, which can inform interventions aimed at reducing transmission and improving early diagnosis and treatment. The Power Chris-Jerry distribution proves to be a suitable fit for modeling CD4 counts, while multiple linear regression and survival analysis techniques provide insights into the relationships between predictor variables and diagnostic time. These results contribute to the understanding of HIV/AIDS patient outcomes and can guide public health interventions to enhance early detection, treatment, and care.展开更多
This study investigates the impact of various factors on the lifespan and diagnostic time of HIV/AIDS patients using advanced statistical techniques. The Power Chris-Jerry (PCJ) distribution is applied to model CD4 co...This study investigates the impact of various factors on the lifespan and diagnostic time of HIV/AIDS patients using advanced statistical techniques. The Power Chris-Jerry (PCJ) distribution is applied to model CD4 counts of patients, and the goodness-of-fit test confirms a strong fit with a p-value of 0.6196. The PCJ distribution is found to be the best fit based on information criteria (AIC and BIC) with the smallest negative log-likelihood, AIC, and BIC values. The study uses datasets from St. Luke hospital Uyo, Nigeria, containing HIV/AIDS diagnosis date, age, CD4 count, gender, and opportunistic infection dates. Multiple linear regression is employed to analyze the relationship between these variables and HIV/AIDS diagnostic time. The results indicate that age, CD4 count, and opportunistic infection significantly impact the diagnostic time, while gender shows a nonsignificant relationship. The F-test confirms the model's overall significance, indicating the factors are good predictors of HIV/AIDS diagnostic time. The R-squared value of approximately 72% suggests that administering antiretroviral therapy (ART) can improve diagnostic time by suppressing the virus and protecting the immune system. Cox proportional hazard modeling is used to examine the effects of predictor variables on patient survival time. Age and CD4 count are not significant factors in the hazard of HIV/AIDS diagnostic time, while opportunistic infection is a significant predictor with a decreasing effect on the hazard rate. Gender shows a strong but nonsignificant relationship with decreased risk of death. To address the violation of the assumption of proportional hazard, the study employs an assumption-free alternative, Aalen’s model. In the Aalen model, all predictor variables except age and gender are statistically significant in relation to HIV/AIDS diagnostic time. The findings provide valuable insights into the factors influencing diagnostic time and survival of HIV/AIDS patients, which can inform interventions aimed at reducing transmission and improving early diagnosis and treatment. The Power Chris-Jerry distribution proves to be a suitable fit for modeling CD4 counts, while multiple linear regression and survival analysis techniques provide insights into the relationships between predictor variables and diagnostic time. These results contribute to the understanding of HIV/AIDS patient outcomes and can guide public health interventions to enhance early detection, treatment, and care.展开更多
Objective This study was to investigate the HIV current situation in Liangshan prefecture, in order to predict prevalence and transmission trends. Methods Region-specific population, behavior, serosurveillence, and po...Objective This study was to investigate the HIV current situation in Liangshan prefecture, in order to predict prevalence and transmission trends. Methods Region-specific population, behavior, serosurveillence, and policy/program data (from 1995 to 2020) were gathered from various local and national organizations and applied to the Asian Epidemic Model (AEM) and used to derive estimates of future HIV prevalence, epidemic trends, and outcomes of intervention strategies. Results The AEM projections for 2020 included increased number of people living with HIV (PLHIV; to 136 617), increased HIV prevalence (2.51%), and 8037 deaths from acquired immunodeficiency syndrome (AIDS) in this region. However, the overall HIV incidence rate (per 10 000) was projected to decline from 27 in 2015 to 22 in 2020, largely due to a predicted decrease in HIV infection rate (per 10 000) from 658 in 2013 to 621 in 2020 among intravenous drug users. In contrast, the cases of HIV infection per i0 000 was projected to increase from 420 in 2010 to 503 in 2020 among men who have sex with men, and from 8 in 2010 to 15 in 2020 among the general population. The predominant risk factor for HIV transmission over the next decade in Liangshan was casual sex. Community-based outreach strategies to reduce injected drug use and casual sex, and to promote condom use, were predicted as effective interventions to decrease HIV transmission. Conclusion Implementation of a comprehensive public health program, with targeting to the region-specific at-risk populations, will help to mitigate HIV/AIDS spread in Liangshan.展开更多
Objective:To study anemia in AIDS patients and its relation with socioeconomic, employment status and educational levels.Methods:A total number of 442 patients who visited the Infectious Diseases University Hospital i...Objective:To study anemia in AIDS patients and its relation with socioeconomic, employment status and educational levels.Methods:A total number of 442 patients who visited the Infectious Diseases University Hospital in Buenos Aires, Argentina were included in the study. Patients were dividied into two groups,i.e.one with anemia and the other without anemia. Anemia epidemiology and its relationship with educational level, housing, job situation, monthly income, total daily caloric intake and weekly intake of meat were evaluated.Results:Anemia was found in 228 patients(54%). Comparing patients with or without anemia, a statistically significant difference was found(P<0.0001) in those whose highest educational level reached was primary school, who lived in a precarious home, who had no stable job or were unable to work, whose income was less than 30 dollars per month, whose meat consumption was less than twice a week or received less than 8000 calories per day.Conclusions:The high prevalence of anemia found in poor patients with AIDS suggests that poverty increases the risk to suffer from this hematological complication.The relationship between economic development policies and AIDS is complex. Our results seem to point to the fact that AIDS epidemic may affect economic development and in turn be affected by it. If we consider that AIDS affects the economically active adult population, despite recent medical progress it usually brings about fatal consequences, especially within the poorest sectors of society where the disease reduces the average life expectancy, increases health care demand and tends to exacerbate poverty and iniquity.展开更多
In the present research,two Chinese rhesus monkeys were inoculated intravenously with 5000 TCID50 of SIVmac239. The changes in the numbers of CD4+ T lymphocyte in peripheral blood,plasma viral loads,proviral DNA and h...In the present research,two Chinese rhesus monkeys were inoculated intravenously with 5000 TCID50 of SIVmac239. The changes in the numbers of CD4+ T lymphocyte in peripheral blood,plasma viral loads,proviral DNA and humoral antibodies against virus were periodically monitored during 121 days. At the early stage of infection,proviral DNA had been detected in PBMCs,and infectious SIVmac239 virus had been isolated from PBMCs. At the same period,the numbers of CD4+ T lymphocytes were significantly decreased,and maintained at low level during the 121-day period of infection. Plasma viral loads reached the peak at week 2 post-inoculation and kept at a steady state subsequently. Moreover,antibodies against viral proteins were detected from plasma. All the results showed that the two Chinese rhesus monkeys had been infected with SIVmac239 successfully. This animal model can be applied for further AIDS researches.展开更多
文摘In this study,a numerical method based on the Pell-Lucas polynomials(PLPs)is developed to solve the fractional order HIV/AIDS epidemic model with a treatment compartment.The HIV/AIDS mathematical model with a treatment compartment is divided into five classes,namely,susceptible patients(S),HIV-positive individuals(I),individuals with full-blown AIDS but not receiving ARV treatment(A),individuals being treated(T),and individuals who have changed their sexual habits sufficiently(R).According to the method,by utilizing the PLPs and the collocation points,we convert the fractional order HIV/AIDS epidemic model with a treatment compartment into a nonlinear system of the algebraic equations.Also,the error analysis is presented for the Pell-Lucas approximation method.The aim of this study is to observe the behavior of five populations after 200 days when drug treatment is applied to HIV-infectious and full-blown AIDS people.To demonstrate the usefulness of this method,the applications are made on the numerical example with the help of MATLAB.In addition,four cases of the fractional order derivative(p=1,p=0.95,p=0.9,p=0.85)are examined in the range[0,200].Owing to applications,we figured out that the outcomes have quite decent errors.Also,we understand that the errors decrease when the value of N increases.The figures in this study are created in MATLAB.The outcomes indicate that the presented method is reasonably sufficient and correct.
文摘This study investigates the application of the two-parameter Weibull distribution in modeling state holding times within HIV/AIDS progression dynamics. By comparing the performance of the Weibull-based Accelerated Failure Time (AFT) model, Cox Proportional Hazards model, and Survival model, we assess the effectiveness of these models in capturing survival rates across varying gender, age groups, and treatment categories. Simulated data was used to fit the models, with model identification criteria (AIC, BIC, and R2) applied for evaluation. Results indicate that the AFT model is particularly sensitive to interaction terms, showing significant effects for older age groups (50 - 60 years) and treatment interaction, while the Cox model provides a more stable fit across all age groups. The Survival model displayed variability, with its performance diminishing when interaction terms were introduced, particularly in older age groups. Overall, while the AFT model captures the complexities of interactions in the data, the Cox model’s stability suggests it may be better suited for general analyses without strong interaction effects. The findings highlight the importance of model selection in survival analysis, especially in complex disease progression scenarios like HIV/AIDS.
文摘A non-linear HIV-TB co-infection has been formulated and analyzed. The positivity and invariant region has been established. The disease free equilibrium and its stability has been determined. The local stability was determined and found to be stable under given conditions. The basic reproduction number was obtained and according to findings, co-infection diminishes when this number is less than unity, and persists when the number is greater than unity. The global stability of the endemic equilibrium was calculated. The impact of HIV on TB was established as well as the impact of TB on HIV. Numerical solution was also done and the findings indicate that when the rate of HIV treatment increases the latent TB increases while the co-infected population decreases. When the rate of HIV treatment decreases the latent TB population decreases and the co-infected population increases. Encouraging communities to prioritize the consistent treatment of HIV infected individuals must be emphasized in order to reduce the scourge of HIV-TB co-infection.
文摘This paper considers the problem of the HIV/AIDS Infection Process filtering characterized by three compounds, namely, the number of healthy T-cells, the number of infected T-cells and free virus particles. Only the first and third of them can be measurable during the medical treatment process. Moreover, the exact parameter values are admitted to be also unknown. So, here we deal with an uncertain dynamic model that excludes the application of classical filtering theory and requires the application of robust filters successfully working in the absence of a complete mathematical model of the considered process. The problem is to estimate the number of infected T-cells based on the available information. Here we admit the presence of stochastic “white noise” in current observations. To do that we apply the Luenberger-like filter (software sensor) with a matrix gain, which should be adjusted at the beginning of the process in such a way that the filtering error would be as less as possible using the Attractive Ellipsoid Method (AEM). It is shown that the corresponding trajectories of the filtering error converge to an ellipsoidal set of a prespecified form in mean-square sense. To generate the experimental data sequences in the test-simulation example, we have used the well-known simplified HIV/ AIDS model. The obtained results confirm the effectiveness of the suggested approach.
文摘Objective: This study aims to understand the distribution of pathogenic bacteria in the region of HIV/AIDS patients with opportunistic infection. Methods: To count the number of the bacterial culture of HIV/AIDS patients in our hospital from October 2011 to December 2014, and observe the distribution of all kinds of pathogenic bacteria. Results: From the 4269 cases of HIV/AIDS patients’ bacteria, 5045 cases were cultured whose main flora distribution wasCandida albicans, 1759 cases. The second one was penicillium, 982 cases. The third one was mycobacteria, 557 cases. And then there are 213 cases ofCryptococcus neoformans, 212 cases of?Klebsiella pneumonia, 209 cases of?E. coli, 157 cases of coagulase-negative staphylococci, 112 cases of?Candida tropicalis, 90 cases of glabrata, 81 cases of?Staphylococcus aureus, 75 cases of?Pseudomonas aeruginosa, 60 cases of Salmonella, 48 cases of Acinetobacter and the distribution of the rest of cultured bacterial was less than 40 cases. Conclusion: There are many kinds of types of Pathogenic bacteria in HIV/AIDS patients with the opportunity to infectious. And the majorities are?Candida albicans,?Penicillium marneffei,?Penicillium,?Mycobacterium,?Cryptococcus neoformans?and so on. The infection sites are widely distributed;respiratory and circulatory are the main infected system. Improving the detection rate and reducing the contamination rate can truly reflect the distribution of pathogenic bacteria, and the distribution can guide the infection work in hospital. At the same time, it’s good to predict and prevent opportunistic infection. Thus, the patients can get immediate treatment.
文摘Objective:To assess the usefulness of IGRA test(QuantiFERON? -Cell mediated immune) compared with the tuberculin skin test.Methods:A cross-sectional study was carried out in Mexico,25 infected patients with HIV-AIDS and the suspicion or with latent tuberculous infection (LTBI) who were】18 years of age and without treatment for tuberculosis(TB),were enrolled in the study.Results:Median cluster of differentiation(CD4) count was 364 cells/μL and median HIV viral load was 50 copies/mL.Overall,20 patients(80%) had at least one positive diagnostic test for LTBI:four(16%) had a positive tuberculin skin test and 19(76%),a positive QuantiFERON ? -tuberculosis.Conclusions:No agreement is found between the two diagnostic tests:k = -0.004,95%confidence interval(-0.2219,0.2210).Additional longitudinal studies among HIV-infected populations with high prevalence of TB are needed to further assess the usefulness of IGRAs in this patient population.
文摘In order to find out the effect of human (sexual) behavior change and immigration in spreading the HIV/AIDS, a deterministic model of HIV/AIDS with infective immigration is formulated. First, basic properties of the model, including non-negativity and boundedness of the solutions, existence of the endemic equilibrium and the basic reproduction number, R0 are analyzed. The geometrical approach is used to obtain the global asymptotic stability of endemic equilibrium. Then the basic model is extended to include several control efforts aimed at reducing infection and changing behavior. Pontryagin’s maximum principle is used to derive the optimality system and solve the system numerically. Our numerical findings are illustrated through simulations using MATLAB, which shows reliability of our model from the practical point of view.
文摘This study was designed to identify and characterize the Candida species isolated from lower respiratory tract infections among HIV positive patients and to determine the prevalence rates of Candida infections among these subjects. Two early morning expectorate sputum samples were collected from 272 HIV positive subjects visiting the ART clinics and DOTS centre with cases of lower respiratory tract infection, over a period of 14 months from May 2009 to July 2010 in Calabar. Subjects were recruited for this study upon approval by the Ethical Research Committee of the University of Calabar Teaching Hospital and obtaining written informed consent from the patients. Samples were processed by standard methods for isolation of Candida. Speciation was done by a germ tube test, chlamydospore production on corn meal agar and sugar fermentation and assimilation tests using the Microexpress Candida identification kit (Tulip, India). Out of the 544 sputum samples collected from 272 subjects, Candida species were isolated from 40 (14.7%) and identified after confirming the growth in the second sample. The majority of Candida species among the Candida isolates were Candida albicans (80%) followed by Candida tropicalis 5 (12.5%), Candida dubliniensis 2 (5.0%) and Candida guilliermondii 1 (2.5%). The isolation rate of Candida species from sputum samples was found to be highest among subjects aged 25 - 34 years, followed by those aged 15 - 24 years. Twenty (7.3%) HIV seropositive subjects had bacterial infections, while 4 (1.5%) subjects had mixed fungal and bacterial infections. This study is the first of its kind to be carried out in Calabar and the South-South geopolitical region of Nigeria, and has shown that pulmonary candidiasis is a health problem among HIV positive patients in Calabar.
文摘<b><span style="font-family:Verdana;">Introduction:</span></b><span> <i></i></span><i><i><span style="font-family:Verdana;">Mycobacterium tuberculosis</span></i><span></span></i><span style="font-family:Verdana;"> (TB) infect</span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">s</span></span></span><span><span><span style="font-family:;" "=""><span style="font-family:Verdana;"> about one quarter of the global population and is transmitted via aerosols by coughing, sneezing, etc. Some socio-behavioral factors may predispose an individual to the disease. </span><b><b><span style="font-family:Verdana;">Methodology:</span></b><span style="font-family:Verdana;"></span></b> <span style="font-family:Verdana;">The study used a cross-sectional design with random stratified sampling technique. Sputum samples from suspected TB patients totaling 600 were obtained from patients attending directly observed treatment (DOTs) centers from different local government areas in Bayelsa. The sputum samples were examined for tuberculosis using the Ziehl-Neelsen </span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;">staining technique and Gene Xpert molecular method while HIV/AIDS tests were carried out with EDTA blood using the Alere HIV12 test kit and others.</span> </span><b><b><span style="font-family:Verdana;">Results:</span></b><span style="font-family:Verdana;"></span></b></span><b> </b><span style="font-family:Verdana;">The Prevalence of TB by Gene Xpert was 294 (49.0%) and by AFB 217 (36.1%), while TB/HIV co</span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">-</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">infection was 94 (32.0%), RRMTB was 34 (11.9%) and HIV 249 (41.5%). Prevalence by age group showed the 20</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;"> - </span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">39 years had the highest prevalence of TB 98 (47.0%), TB/HIV 35 (47.0%), RRMTB 17 (48.0%) and HIV 90 (57.0%). By gender the male </span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">had </span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">slightly higher prevalence of TB 109 (52.0%), TB/HIV 51 (54.0%), RRMTB 20 (56.0%) and HIV 126 (51.0%)</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;"> than the female</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">. Prevalence among smokers and alcoholics</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;"> and</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;"> subjects who engaged in both habits had high prevalence TB 109 (37.0%), TB/HIV 14 (40.0%), RRMTB 14 (40.0%) and HIV 72 (29.0%). For educational status those with tertiary and secondary education had similar high prevalence and for occupation, the self</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">-</span></span></span><span><span><span style="font-family:;" "=""><span style="font-family:Verdana;">employed and civil servants had similar elevated prevalence. The prevalence by local government area showed that Yenegoa had the highest with TB 235 (80.0%), TB/HIV 72 (76.6%), RRMTB 24 (68.5%) and HIV 202 (81.2%). <b></b></span><b><b><span style="font-family:Verdana;">Conclusion: </span></b><span style="font-family:Verdana;"></span></b></span><span><span style="font-family:Verdana;">An increase in the development of resistance by </span><i></i></span><i><i><span style="font-family:Verdana;">M. tuberculosis</span></i><span></span></i><span style="font-family:Verdana;"> also contributes to the persistence of the disease as well as some socio-economic factors.</span></span></span>
文摘This study investigates the impact of various factors on the lifespan and diagnostic time of HIV/AIDS patients using advanced statistical techniques. The Power Chris-Jerry (PCJ) distribution is applied to model CD4 counts of patients, and the goodness-of-fit test confirms a strong fit with a p-value of 0.6196. The PCJ distribution is found to be the best fit based on information criteria (AIC and BIC) with the smallest negative log-likelihood, AIC, and BIC values. The study uses datasets from St. Luke hospital Uyo, Nigeria, containing HIV/AIDS diagnosis date, age, CD4 count, gender, and opportunistic infection dates. Multiple linear regression is employed to analyze the relationship between these variables and HIV/AIDS diagnostic time. The results indicate that age, CD4 count, and opportunistic infection significantly impact the diagnostic time, while gender shows a nonsignificant relationship. The F-test confirms the model's overall significance, indicating the factors are good predictors of HIV/AIDS diagnostic time. The R-squared value of approximately 72% suggests that administering antiretroviral therapy (ART) can improve diagnostic time by suppressing the virus and protecting the immune system. Cox proportional hazard modeling is used to examine the effects of predictor variables on patient survival time. Age and CD4 count are not significant factors in the hazard of HIV/AIDS diagnostic time, while opportunistic infection is a significant predictor with a decreasing effect on the hazard rate. Gender shows a strong but nonsignificant relationship with decreased risk of death. To address the violation of the assumption of proportional hazard, the study employs an assumption-free alternative, Aalen’s model. In the Aalen model, all predictor variables except age and gender are statistically significant in relation to HIV/AIDS diagnostic time. The findings provide valuable insights into the factors influencing diagnostic time and survival of HIV/AIDS patients, which can inform interventions aimed at reducing transmission and improving early diagnosis and treatment. The Power Chris-Jerry distribution proves to be a suitable fit for modeling CD4 counts, while multiple linear regression and survival analysis techniques provide insights into the relationships between predictor variables and diagnostic time. These results contribute to the understanding of HIV/AIDS patient outcomes and can guide public health interventions to enhance early detection, treatment, and care.
文摘This study investigates the impact of various factors on the lifespan and diagnostic time of HIV/AIDS patients using advanced statistical techniques. The Power Chris-Jerry (PCJ) distribution is applied to model CD4 counts of patients, and the goodness-of-fit test confirms a strong fit with a p-value of 0.6196. The PCJ distribution is found to be the best fit based on information criteria (AIC and BIC) with the smallest negative log-likelihood, AIC, and BIC values. The study uses datasets from St. Luke hospital Uyo, Nigeria, containing HIV/AIDS diagnosis date, age, CD4 count, gender, and opportunistic infection dates. Multiple linear regression is employed to analyze the relationship between these variables and HIV/AIDS diagnostic time. The results indicate that age, CD4 count, and opportunistic infection significantly impact the diagnostic time, while gender shows a nonsignificant relationship. The F-test confirms the model's overall significance, indicating the factors are good predictors of HIV/AIDS diagnostic time. The R-squared value of approximately 72% suggests that administering antiretroviral therapy (ART) can improve diagnostic time by suppressing the virus and protecting the immune system. Cox proportional hazard modeling is used to examine the effects of predictor variables on patient survival time. Age and CD4 count are not significant factors in the hazard of HIV/AIDS diagnostic time, while opportunistic infection is a significant predictor with a decreasing effect on the hazard rate. Gender shows a strong but nonsignificant relationship with decreased risk of death. To address the violation of the assumption of proportional hazard, the study employs an assumption-free alternative, Aalen’s model. In the Aalen model, all predictor variables except age and gender are statistically significant in relation to HIV/AIDS diagnostic time. The findings provide valuable insights into the factors influencing diagnostic time and survival of HIV/AIDS patients, which can inform interventions aimed at reducing transmission and improving early diagnosis and treatment. The Power Chris-Jerry distribution proves to be a suitable fit for modeling CD4 counts, while multiple linear regression and survival analysis techniques provide insights into the relationships between predictor variables and diagnostic time. These results contribute to the understanding of HIV/AIDS patient outcomes and can guide public health interventions to enhance early detection, treatment, and care.
基金funded by China-MSD HIV/AIDS Partnership Project(2012-83)Comprehensive Assessment for HIV/AIDS Control and Prevention in Sichuan Province Project(2006-2010)
文摘Objective This study was to investigate the HIV current situation in Liangshan prefecture, in order to predict prevalence and transmission trends. Methods Region-specific population, behavior, serosurveillence, and policy/program data (from 1995 to 2020) were gathered from various local and national organizations and applied to the Asian Epidemic Model (AEM) and used to derive estimates of future HIV prevalence, epidemic trends, and outcomes of intervention strategies. Results The AEM projections for 2020 included increased number of people living with HIV (PLHIV; to 136 617), increased HIV prevalence (2.51%), and 8037 deaths from acquired immunodeficiency syndrome (AIDS) in this region. However, the overall HIV incidence rate (per 10 000) was projected to decline from 27 in 2015 to 22 in 2020, largely due to a predicted decrease in HIV infection rate (per 10 000) from 658 in 2013 to 621 in 2020 among intravenous drug users. In contrast, the cases of HIV infection per i0 000 was projected to increase from 420 in 2010 to 503 in 2020 among men who have sex with men, and from 8 in 2010 to 15 in 2020 among the general population. The predominant risk factor for HIV transmission over the next decade in Liangshan was casual sex. Community-based outreach strategies to reduce injected drug use and casual sex, and to promote condom use, were predicted as effective interventions to decrease HIV transmission. Conclusion Implementation of a comprehensive public health program, with targeting to the region-specific at-risk populations, will help to mitigate HIV/AIDS spread in Liangshan.
基金financially supported by the Rene Baron Foundation(grant No.A8007835521)the National University of Buenos Aires,Faculty of Medicine(grant No.JLTM2OO9HO862)
文摘Objective:To study anemia in AIDS patients and its relation with socioeconomic, employment status and educational levels.Methods:A total number of 442 patients who visited the Infectious Diseases University Hospital in Buenos Aires, Argentina were included in the study. Patients were dividied into two groups,i.e.one with anemia and the other without anemia. Anemia epidemiology and its relationship with educational level, housing, job situation, monthly income, total daily caloric intake and weekly intake of meat were evaluated.Results:Anemia was found in 228 patients(54%). Comparing patients with or without anemia, a statistically significant difference was found(P<0.0001) in those whose highest educational level reached was primary school, who lived in a precarious home, who had no stable job or were unable to work, whose income was less than 30 dollars per month, whose meat consumption was less than twice a week or received less than 8000 calories per day.Conclusions:The high prevalence of anemia found in poor patients with AIDS suggests that poverty increases the risk to suffer from this hematological complication.The relationship between economic development policies and AIDS is complex. Our results seem to point to the fact that AIDS epidemic may affect economic development and in turn be affected by it. If we consider that AIDS affects the economically active adult population, despite recent medical progress it usually brings about fatal consequences, especially within the poorest sectors of society where the disease reduces the average life expectancy, increases health care demand and tends to exacerbate poverty and iniquity.
基金Key Scientific and Technological projects of China (2004BA719A14) and Yunnan province (2004NG12, 2006PT08)National 973 project of China (2006CB504200, 2006CB504300)+3 种基金The Natural Science Foundation of China (30471605 30671960)The Knowledge Innovation Program (KSCX1-YW-R-15)"Western Light" Projects of Chinese Academy of Sciences.
文摘In the present research,two Chinese rhesus monkeys were inoculated intravenously with 5000 TCID50 of SIVmac239. The changes in the numbers of CD4+ T lymphocyte in peripheral blood,plasma viral loads,proviral DNA and humoral antibodies against virus were periodically monitored during 121 days. At the early stage of infection,proviral DNA had been detected in PBMCs,and infectious SIVmac239 virus had been isolated from PBMCs. At the same period,the numbers of CD4+ T lymphocytes were significantly decreased,and maintained at low level during the 121-day period of infection. Plasma viral loads reached the peak at week 2 post-inoculation and kept at a steady state subsequently. Moreover,antibodies against viral proteins were detected from plasma. All the results showed that the two Chinese rhesus monkeys had been infected with SIVmac239 successfully. This animal model can be applied for further AIDS researches.