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
Objective This study aimed to determine the current epidemiological status of PLWHA aged≥50 years in China from 2018 to 2021.It also aimed to recommend targeted interventions for the prevention and treatment of HIV/A...Objective This study aimed to determine the current epidemiological status of PLWHA aged≥50 years in China from 2018 to 2021.It also aimed to recommend targeted interventions for the prevention and treatment of HIV/AIDS in elderly patients.Methods Data on newly reported cases of PLWHA,aged≥50 years in China from 2018 to 2021,were collected using the CRIMS.Trend tests and spatial analyses were also conducted.Results Between 2018 and 2021,237,724 HIV/AIDS cases were reported among patients aged≥50 years in China.The main transmission route was heterosexual transmission(91.24%).Commercial heterosexual transmission(CHC)was the primary mode of transmission among males,while non-marital non-CHC([NMNCHC];60.59%)was the prevalent route in women.The proportion of patients with CHC decreased over time(Z=67.716,P<0.01),while that of patients with NMNCHC increased(Z=153.05,P<0.01).The sex ratio varied among the different modes of infection,and it peaked at 17.65 for CHC.The spatial analysis indicated spatial clustering,and the high-high clustering areas were mainly distributed in the southwestern and central-southern provinces.Conclusion In China,PLWHA,aged≥50 years,were predominantly infected through heterosexual transmission.The primary modes of infection were CHC and NMNCHC.There were variations in the sex ratio among different age groups,infected through various sexual behaviors.HIV/AIDS cases exhibited spatial clustering.Based on these results,the expansion of HIV testing,treatment,and integrated behavioral interventions in high-risk populations is recommended to enhance disease detection in key regions.展开更多
Background Human immunodeficiency virus/acquired immunodeficiency syndrome(HIV/AIDS)has become a major worldwide public health issue,with a focus on developing nations.Despite having a very low HIV prevalence,South As...Background Human immunodeficiency virus/acquired immunodeficiency syndrome(HIV/AIDS)has become a major worldwide public health issue,with a focus on developing nations.Despite having a very low HIV prevalence,South Asia faces serious issues with stigma and false information because of a lack of awareness.This stigma highlights significant gaps in popular awareness while also sustaining unfavorable attitudes towards those living with HIV/AIDS.Pakistan is ranked second in South Asia for the rapidly increasing AIDS epidemic.Thorough information and optimistic outlooks are essential for successful HIV/AIDS prevention,control,and treatment.But false beliefs about how HIV/AIDS spreads lead to negative perceptions,which highlights the need to look into how women’s knowledge and attitudes about HIV/AIDS in Pakistan are influenced by sociodemographic traits and autonomy.Methods The purpose of this study is to evaluate Pakistani women’s discriminatory attitudes and level of awareness on HIV/AIDS.This study used data(the women in reproductive age 15-49 years’dataset)from the Pakistan Multiple Indicator Cluster Survey to conduct an analytical cross-sectional analysis.To represent the respondents’attitudes and knowledge towards people living with HIV(PLHIV),two composite variables were developed and composite scored.Binary logistics regression was used to identify predictor variables and chi-square was used for bivariate analysis.Results The findings reveal that almost 90%of Pakistani women have poor knowledge and attitude with HIV/AIDS.In Punjab,72.8%of rural residents have low knowledge,whereas only 20.6%of young individuals(15-<25 years old)show the least amount of ignorance.Education is shown to be crucial,and“Higher”education is associated with superior knowledge.Urban dwellers in Khyber Pakhtunkhwa typically have more expertise.Knowledge of HIV is positively correlated with education;those with higher education levels know a lot more(odds ratio[OR]=5.419).Similarly,quintiles with greater incomes show a higher likelihood of knowing about HIV(OR=6.745).The study identifies age,wealth index,place of residence,educational attainment,and exposure to contemporary media as significant predictors influencing HIV knowledge and attitudes among women in these provinces.Conclusion The majority of respondents had negative opinions regarding the virus,and the majority of women in the study knew very little about HIV.Individuals who live in metropolitan areas,have higher incomes,are better educated,are exposed to contemporary media,and are generally more aware of HIV and have more positive attitudes towards HIV/AIDS,or PLHIV.The study found that,in comparison to those living in urban environments,those from rural areas with low socioeconomic level have a negative attitude and inadequate understanding.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Objective This study aimed to determine the current epidemiological status of PLWHA aged≥50 years in China from 2018 to 2021.It also aimed to recommend targeted interventions for the prevention and treatment of HIV/AIDS in elderly patients.Methods Data on newly reported cases of PLWHA,aged≥50 years in China from 2018 to 2021,were collected using the CRIMS.Trend tests and spatial analyses were also conducted.Results Between 2018 and 2021,237,724 HIV/AIDS cases were reported among patients aged≥50 years in China.The main transmission route was heterosexual transmission(91.24%).Commercial heterosexual transmission(CHC)was the primary mode of transmission among males,while non-marital non-CHC([NMNCHC];60.59%)was the prevalent route in women.The proportion of patients with CHC decreased over time(Z=67.716,P<0.01),while that of patients with NMNCHC increased(Z=153.05,P<0.01).The sex ratio varied among the different modes of infection,and it peaked at 17.65 for CHC.The spatial analysis indicated spatial clustering,and the high-high clustering areas were mainly distributed in the southwestern and central-southern provinces.Conclusion In China,PLWHA,aged≥50 years,were predominantly infected through heterosexual transmission.The primary modes of infection were CHC and NMNCHC.There were variations in the sex ratio among different age groups,infected through various sexual behaviors.HIV/AIDS cases exhibited spatial clustering.Based on these results,the expansion of HIV testing,treatment,and integrated behavioral interventions in high-risk populations is recommended to enhance disease detection in key regions.
文摘Background Human immunodeficiency virus/acquired immunodeficiency syndrome(HIV/AIDS)has become a major worldwide public health issue,with a focus on developing nations.Despite having a very low HIV prevalence,South Asia faces serious issues with stigma and false information because of a lack of awareness.This stigma highlights significant gaps in popular awareness while also sustaining unfavorable attitudes towards those living with HIV/AIDS.Pakistan is ranked second in South Asia for the rapidly increasing AIDS epidemic.Thorough information and optimistic outlooks are essential for successful HIV/AIDS prevention,control,and treatment.But false beliefs about how HIV/AIDS spreads lead to negative perceptions,which highlights the need to look into how women’s knowledge and attitudes about HIV/AIDS in Pakistan are influenced by sociodemographic traits and autonomy.Methods The purpose of this study is to evaluate Pakistani women’s discriminatory attitudes and level of awareness on HIV/AIDS.This study used data(the women in reproductive age 15-49 years’dataset)from the Pakistan Multiple Indicator Cluster Survey to conduct an analytical cross-sectional analysis.To represent the respondents’attitudes and knowledge towards people living with HIV(PLHIV),two composite variables were developed and composite scored.Binary logistics regression was used to identify predictor variables and chi-square was used for bivariate analysis.Results The findings reveal that almost 90%of Pakistani women have poor knowledge and attitude with HIV/AIDS.In Punjab,72.8%of rural residents have low knowledge,whereas only 20.6%of young individuals(15-<25 years old)show the least amount of ignorance.Education is shown to be crucial,and“Higher”education is associated with superior knowledge.Urban dwellers in Khyber Pakhtunkhwa typically have more expertise.Knowledge of HIV is positively correlated with education;those with higher education levels know a lot more(odds ratio[OR]=5.419).Similarly,quintiles with greater incomes show a higher likelihood of knowing about HIV(OR=6.745).The study identifies age,wealth index,place of residence,educational attainment,and exposure to contemporary media as significant predictors influencing HIV knowledge and attitudes among women in these provinces.Conclusion The majority of respondents had negative opinions regarding the virus,and the majority of women in the study knew very little about HIV.Individuals who live in metropolitan areas,have higher incomes,are better educated,are exposed to contemporary media,and are generally more aware of HIV and have more positive attitudes towards HIV/AIDS,or PLHIV.The study found that,in comparison to those living in urban environments,those from rural areas with low socioeconomic level have a negative attitude and inadequate understanding.
