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
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
Background:The human immunodeficiency virus/acquired immunodeficiency syndrome(HIV/AIDS)epidemic is a typical global health concern.The impact of HIV/AIDS is global,and we cannot effectively solve the problem without ...Background:The human immunodeficiency virus/acquired immunodeficiency syndrome(HIV/AIDS)epidemic is a typical global health concern.The impact of HIV/AIDS is global,and we cannot effectively solve the problem without a global effort.In this study,we report our research on global HIV/AIDS control with an innovative fourdimensional approach.Methods:Countries(n=148)with data available on area size,total population,and the total number of persons living with HIV(PLWH)were included.The HIV epidemic across the globe was described using 4 indicators,including the total count,population-based P rate,geographic area-based G rate,and population and geographic area-based PG rate.Results:A total of 35,426,911 PLWH were included,with a global prevalence rate of 0.51 per 1,000 population.The total PLWH count provided data on resource allocation in individual countries to improve HIV/AIDS care;and the top five countries with the highest PLWH counts were South Africa(7,000),Nigeria(3,500),India(2,100),Kenya(1,500),and Mozambique(1,500).The other three indicators provide a measure to assess the global risk profile of HIV transmission and to provide information on HIV/AIDS prevention strategies.The top five countries with the highest P rates(per 1,000 persons)were Swaziland(170.9),Botswana(154.7),Lesotho(145.2),South Africa(127.4),and Zimbabwe(89.7);the top five countries with the highest G rates(per 100 km2)were Swaziland(1,279.1),Malawi(1,039.5),Lesotho(1,021.1),Rwanda(810.7),and Uganda(748.1);and the top five countries with highest PG rates(per 1,000,000 persons per 100 km2)were Barbados(2,127.9),Swaziland(993.8),Lesotho(478.3),Malta(375.0),and Mauritius(319.7).With PG rate,we detected countries in two hotspots(south and middle Africa and the Caribbean region)and one belt across the Euro-Asian region with high risks of HIV transmission.Conclusions:This study expanded the conventional measures by adding two new indicators,thus forming a new four-dimensional framework to quantify the global HIV epidemic.In addition to gaining a better insight into the epidemic than before,study findings provide new data on country-level and global efforts to end the AIDS epidemic by 2030.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
A delayed HIV/AIDS epidemic model with treatment and vertical transmission is investigated. The model allows some infected individuals to move from the symptomatic phase to the asymptomatic phase;next generation of in...A delayed HIV/AIDS epidemic model with treatment and vertical transmission is investigated. The model allows some infected individuals to move from the symptomatic phase to the asymptomatic phase;next generation of infected individuals may be infected and it will take them some time to get maturity and infect others. Mathematical analysis shows that the global dynamics of the spread of the HIV/AIDS are completely determined by the basic reproduction number R0 for our model. If R0 R0 > 1.展开更多
It is predicted that AIDS will be one of the major barriers impeding social and economic development in the 21st century. The HIV/AIDS epidemic has gone through the entry and expansion phases and entered into a rapid ...It is predicted that AIDS will be one of the major barriers impeding social and economic development in the 21st century. The HIV/AIDS epidemic has gone through the entry and expansion phases and entered into a rapid increase phase in China. This paper discusses the challenges and strategies for controlling the HIV/AIDS epidemic in China. Key Words: AIDS, Control and展开更多
The principles of the HIV-AIDS epidemics are established based on the subpopulation 1) Susceptible;2) HIV-infected;3) AIDS-infected;4) Immunized. The immunized subset of the population in this paper is the total indiv...The principles of the HIV-AIDS epidemics are established based on the subpopulation 1) Susceptible;2) HIV-infected;3) AIDS-infected;4) Immunized. The immunized subset of the population in this paper is the total individuals who were infected and cured or immunized by vaccination. The immunized group can be identified by removing individuals from the susceptible group. A general mathematical model is developed for HIV-AIDS epidemics with Vaccination to understand the spread of the virus throughout the population. Particularly we use numerical simulation with some values of parameters to predict the number of infected individuals during a certain period in a population and the effect of vaccine to reduce infected group and increase the number of immunized individuals. Further, we expand the research to special cases with no vaccinations. A special case is when the removal subset of the population is empty, or there is no recovery in this epidemic. We also can consider the total infected number is equal to the sum of the HIV infected and the number of AIDS infected. As a result, one can reduce four-stage HIV-AIDS investigation to a three-stage of SIR. With this introduction and modification, the numerical simulation can be developed the Monte Carlo simulation method in SIR case to verify the Validity of the HIV-AIDS model.展开更多
Objective Our study aimed to provide a comprehensive overview of the current status and dynamic trends of the human immunodeficiency virus(HIV)prevalence in Sichuan,the second most heavily affected province in China,a...Objective Our study aimed to provide a comprehensive overview of the current status and dynamic trends of the human immunodeficiency virus(HIV)prevalence in Sichuan,the second most heavily affected province in China,and to explore future interventions.Methods The epidemiological,behavioral,and population census data from multiple sources were analyzed to extract inputs for an acquired immunodeficiency syndrome(AIDS)epidemic model(AEM).Baseline curves,derived from historical trends in HIV prevalence,were used,and the AEM was employed to examine future intervention scenarios.Results In 2015,the modeled data suggested an adult HIV prevalence of 0.191%in Sichuan,with an estimated 128,766 people living with HIV/AIDS and 16,983 individuals with newly diagnosed infections.Considering current high-risk behaviors,the model predicts an increase in the adult prevalence to 0.306%by 2025,projecting an estimated 212,168 people living with HIV/AIDS and 16,555 individuals with newly diagnosed infections.Conclusion Heterosexual transmission will likely emerge as the primary mode of AIDS transmission in Sichuan.Furthermore,we anticipate a stabilization in the incidence of AIDS with a concurrent increase in prevalence.Implementing comprehensive intervention measures aimed at high-risk groups could effectively alleviate the spread of AIDS in Sichuan.展开更多
Background: Due to the increase in longevity and use of antiretroviral treatment, Uganda has had a growing population of older persons living with HIV/AIDS. However, there is a paucity of information on the mental hea...Background: Due to the increase in longevity and use of antiretroviral treatment, Uganda has had a growing population of older persons living with HIV/AIDS. However, there is a paucity of information on the mental health of the elderly living with HIV/AIDS. In this cross-sectional study, we determined the prevalence of, and associated factors for depression and suicidal ideation among older persons living with HIV/AIDS in Mbarara city, southwest Uganda. Methods: Older persons (150 females, 115 males), with mean age = 64.2 (±5.1) years, accessing health services from three purposively selected HIV/AIDS care centers in Mbarara city, southwest Uganda were recruited. Data on depression and suicidal ideation were collected using a Patient Health Questionnaire (PHQ-9) validated in Uganda, and a structured questionnaire was used to collect data on clinical and socio-demographic characteristics. Data were analysed using logistic regression. Results: Approximately 8.3% and 12.1% had depression and suicidal ideation, respectively. The factors associated with lowering the likelihood of depression were: an increase in the number of family members they stayed with and having no having any problems with their ARVs. On the other hand, earning more than 100,000 Uganda shillings was associated with reducing the risk of suicidal ideations among the participants. Conclusion: Approximately 8 to 12 in 100 older persons living with HIV/AIDS in Uganda have experienced depression or suicidal ideation. Family support and financial control were instrumental factors associated with depression and suicidal ideations, respectively. We recommended strengthening family structures and creating more avenues for financial independence among older persons living with HIV/AIDS to reduce the burden of depression, and suicidal behaviours among this vulnerable population.展开更多
Over past three decades,many prevention strategies have been proven effective in reducing human immunodeficiency virus (HIV) transmission.However,none of these strategies alone are effective to stop the spread of HIV....Over past three decades,many prevention strategies have been proven effective in reducing human immunodeficiency virus (HIV) transmission.However,none of these strategies alone are effective to stop the spread of HIV.This review discusses a few key prevention strategies,including testing,harm reduction,prevention,prophylaxis,and modern communication strategies.We argue that although there are great challenges remaining to stop HIV transmission via sexual contact and injecting drug use routes,the combination of these effective strategies,control HIV epidemic can be achieved.展开更多
The paper studied the imperatives of health psychologists in the control and management of HIV/ AIDS. HIV/AIDS is a relatively new disease, but has caused more deaths than any other disease in human history, and there...The paper studied the imperatives of health psychologists in the control and management of HIV/ AIDS. HIV/AIDS is a relatively new disease, but has caused more deaths than any other disease in human history, and there is no known cure yet. Even though, HIV/AIDS is a death sentence, experts agreed that early detection, and early commencement of treatment may prolong the life of the patients, and that early detection may prevent or reduce the transmission of the virus. Early detection, commencement of treatment, and compliance with medical advice are the responsibilities of the health psychologist. This paper therefore, concludes that health psychologist is indispensable in effective control, and management of HIV/AIDS, and so recommends that awareness be created on the roles of health psychologists in this regard, through health education.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Background:The human immunodeficiency virus/acquired immunodeficiency syndrome(HIV/AIDS)epidemic is a typical global health concern.The impact of HIV/AIDS is global,and we cannot effectively solve the problem without a global effort.In this study,we report our research on global HIV/AIDS control with an innovative fourdimensional approach.Methods:Countries(n=148)with data available on area size,total population,and the total number of persons living with HIV(PLWH)were included.The HIV epidemic across the globe was described using 4 indicators,including the total count,population-based P rate,geographic area-based G rate,and population and geographic area-based PG rate.Results:A total of 35,426,911 PLWH were included,with a global prevalence rate of 0.51 per 1,000 population.The total PLWH count provided data on resource allocation in individual countries to improve HIV/AIDS care;and the top five countries with the highest PLWH counts were South Africa(7,000),Nigeria(3,500),India(2,100),Kenya(1,500),and Mozambique(1,500).The other three indicators provide a measure to assess the global risk profile of HIV transmission and to provide information on HIV/AIDS prevention strategies.The top five countries with the highest P rates(per 1,000 persons)were Swaziland(170.9),Botswana(154.7),Lesotho(145.2),South Africa(127.4),and Zimbabwe(89.7);the top five countries with the highest G rates(per 100 km2)were Swaziland(1,279.1),Malawi(1,039.5),Lesotho(1,021.1),Rwanda(810.7),and Uganda(748.1);and the top five countries with highest PG rates(per 1,000,000 persons per 100 km2)were Barbados(2,127.9),Swaziland(993.8),Lesotho(478.3),Malta(375.0),and Mauritius(319.7).With PG rate,we detected countries in two hotspots(south and middle Africa and the Caribbean region)and one belt across the Euro-Asian region with high risks of HIV transmission.Conclusions:This study expanded the conventional measures by adding two new indicators,thus forming a new four-dimensional framework to quantify the global HIV epidemic.In addition to gaining a better insight into the epidemic than before,study findings provide new data on country-level and global efforts to end the AIDS epidemic by 2030.
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.
文摘A delayed HIV/AIDS epidemic model with treatment and vertical transmission is investigated. The model allows some infected individuals to move from the symptomatic phase to the asymptomatic phase;next generation of infected individuals may be infected and it will take them some time to get maturity and infect others. Mathematical analysis shows that the global dynamics of the spread of the HIV/AIDS are completely determined by the basic reproduction number R0 for our model. If R0 R0 > 1.
文摘It is predicted that AIDS will be one of the major barriers impeding social and economic development in the 21st century. The HIV/AIDS epidemic has gone through the entry and expansion phases and entered into a rapid increase phase in China. This paper discusses the challenges and strategies for controlling the HIV/AIDS epidemic in China. Key Words: AIDS, Control and
文摘The principles of the HIV-AIDS epidemics are established based on the subpopulation 1) Susceptible;2) HIV-infected;3) AIDS-infected;4) Immunized. The immunized subset of the population in this paper is the total individuals who were infected and cured or immunized by vaccination. The immunized group can be identified by removing individuals from the susceptible group. A general mathematical model is developed for HIV-AIDS epidemics with Vaccination to understand the spread of the virus throughout the population. Particularly we use numerical simulation with some values of parameters to predict the number of infected individuals during a certain period in a population and the effect of vaccine to reduce infected group and increase the number of immunized individuals. Further, we expand the research to special cases with no vaccinations. A special case is when the removal subset of the population is empty, or there is no recovery in this epidemic. We also can consider the total infected number is equal to the sum of the HIV infected and the number of AIDS infected. As a result, one can reduce four-stage HIV-AIDS investigation to a three-stage of SIR. With this introduction and modification, the numerical simulation can be developed the Monte Carlo simulation method in SIR case to verify the Validity of the HIV-AIDS model.
基金funded by the Humanities and Social Sciences Research Project of Ministry of Education of China[Grant ID:18YJA840018].
文摘Objective Our study aimed to provide a comprehensive overview of the current status and dynamic trends of the human immunodeficiency virus(HIV)prevalence in Sichuan,the second most heavily affected province in China,and to explore future interventions.Methods The epidemiological,behavioral,and population census data from multiple sources were analyzed to extract inputs for an acquired immunodeficiency syndrome(AIDS)epidemic model(AEM).Baseline curves,derived from historical trends in HIV prevalence,were used,and the AEM was employed to examine future intervention scenarios.Results In 2015,the modeled data suggested an adult HIV prevalence of 0.191%in Sichuan,with an estimated 128,766 people living with HIV/AIDS and 16,983 individuals with newly diagnosed infections.Considering current high-risk behaviors,the model predicts an increase in the adult prevalence to 0.306%by 2025,projecting an estimated 212,168 people living with HIV/AIDS and 16,555 individuals with newly diagnosed infections.Conclusion Heterosexual transmission will likely emerge as the primary mode of AIDS transmission in Sichuan.Furthermore,we anticipate a stabilization in the incidence of AIDS with a concurrent increase in prevalence.Implementing comprehensive intervention measures aimed at high-risk groups could effectively alleviate the spread of AIDS in Sichuan.
文摘Background: Due to the increase in longevity and use of antiretroviral treatment, Uganda has had a growing population of older persons living with HIV/AIDS. However, there is a paucity of information on the mental health of the elderly living with HIV/AIDS. In this cross-sectional study, we determined the prevalence of, and associated factors for depression and suicidal ideation among older persons living with HIV/AIDS in Mbarara city, southwest Uganda. Methods: Older persons (150 females, 115 males), with mean age = 64.2 (±5.1) years, accessing health services from three purposively selected HIV/AIDS care centers in Mbarara city, southwest Uganda were recruited. Data on depression and suicidal ideation were collected using a Patient Health Questionnaire (PHQ-9) validated in Uganda, and a structured questionnaire was used to collect data on clinical and socio-demographic characteristics. Data were analysed using logistic regression. Results: Approximately 8.3% and 12.1% had depression and suicidal ideation, respectively. The factors associated with lowering the likelihood of depression were: an increase in the number of family members they stayed with and having no having any problems with their ARVs. On the other hand, earning more than 100,000 Uganda shillings was associated with reducing the risk of suicidal ideations among the participants. Conclusion: Approximately 8 to 12 in 100 older persons living with HIV/AIDS in Uganda have experienced depression or suicidal ideation. Family support and financial control were instrumental factors associated with depression and suicidal ideations, respectively. We recommended strengthening family structures and creating more avenues for financial independence among older persons living with HIV/AIDS to reduce the burden of depression, and suicidal behaviours among this vulnerable population.
文摘Over past three decades,many prevention strategies have been proven effective in reducing human immunodeficiency virus (HIV) transmission.However,none of these strategies alone are effective to stop the spread of HIV.This review discusses a few key prevention strategies,including testing,harm reduction,prevention,prophylaxis,and modern communication strategies.We argue that although there are great challenges remaining to stop HIV transmission via sexual contact and injecting drug use routes,the combination of these effective strategies,control HIV epidemic can be achieved.
文摘The paper studied the imperatives of health psychologists in the control and management of HIV/ AIDS. HIV/AIDS is a relatively new disease, but has caused more deaths than any other disease in human history, and there is no known cure yet. Even though, HIV/AIDS is a death sentence, experts agreed that early detection, and early commencement of treatment may prolong the life of the patients, and that early detection may prevent or reduce the transmission of the virus. Early detection, commencement of treatment, and compliance with medical advice are the responsibilities of the health psychologist. This paper therefore, concludes that health psychologist is indispensable in effective control, and management of HIV/AIDS, and so recommends that awareness be created on the roles of health psychologists in this regard, through health education.