A mathematical model for HIV prevention and control among men who have sex with men in China

Lu, Ziang; Wang, L; Xing, Hui; Fu, Gengfeng; Yan, Hongjing; Li, Z; Xu, Junjie; Wang, N; Kai, Wang; Peng, Zhihang

doi:10.1017/s0950268820000850

Cited by 12 publications

(12 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The data in this article come from Mukandivire et al, 2010, Lu et al, 2020, and other assumed/ estimated data.…”

Section: Data Availabilitymentioning

confidence: 99%

“…Various improvements have been made to May and Anderson's early models, [23][24][25] and particular issues have been discussed by researchers. 12, In Lu et al 2020 27 fostered a compartmental model for the yearly revealed HIV/AIDS MSM in the Zhejiang Region of China between 2007 to 2019 and anticipated that 90 percent of people tested for HIV/AIDS will have received treatment by 2020, while the screened extent will remain as low as 40 percent, and that antiretroviral treatment (ART) can actually control the transmission of HIV, even within the sight of medication opposition. In Rana and Sharma, 2020 30 presented a simple Likely to be exposed-Infected (i.e.SI) form of HIV/AIDS mathematical model, in view of the supposition that changing from an AIDS-infected to an HIV-infected individual is conceivable, in order to understand disease dynamics and develop strategies to reduce or control disease transmission among individual.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Qualitative analysis of HIV and AIDS disease transmission: impact of awareness, testing and effective follow up

et al. 2022

View full text Add to dashboard Cite

Background: Since the early 1980s, human immunodeficiency virus (HIV) and its accompanying acquired immunodeficiency syndrome (AIDS) have spread worldwide, becoming one of the world's major global health issues. From the beginning of the epidemic until 2020, about 79.3 million people became infected, with 36.3 million deaths due to AIDS illnesses. This huge figure is a result of those unaware of their status due to stigmatization and invariably spreading the virus unknowingly. Methods: Qualitative analysis through a mathematical model that will address HIV unaware individuals and the effect of an increasing defaulter on the dynamics of HIV/AIDS was investigated. The impact of treatment and the effect of inefficient follow-up on the transmission of HIV/AIDS were examined. The threshold for the effective reduction of the unaware status of HIV through testing, in response to awareness, and the significance of effective non-defaulting in treatment commonly called defaulters loss to follow-up as these individuals contribute immensely to the spread of the virus due to their increase in CD4+ count was determined in this study. Stability analysis of equilibrium points is performed using the basic reproduction number $R_0$, an epidemiological threshold that determines disease eradication or persistence in viral populations. We tested the most sensitive parameters in the basic reproduction numbers. The model of consideration in this study is based on the assumption that information (awareness) and non-stigmatization can stimulate change in the behaviours of infected individuals, and can lead to an increase in testing and adherence to treatment. This will in turn reduce the basic reproduction number, and consequently, the spread of the virus. Results: The results portray that the early identification and treatment are inadequate for the illness to be eradicated. Conclusions: Other control techniques, such as treatment adherence and effective condom usage, should be investigated in order to lessen the disease's burden.

show abstract

“…The data in this article come from Mukandivire et al, 2010, Lu et al, 2020, and other assumed/ estimated data.…”

Section: Data Availabilitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Qualitative analysis of HIV and AIDS disease transmission: impact of awareness, testing and effective follow up

et al. 2022

View full text Add to dashboard Cite

show abstract

“…Various improvements have been made to May and Anderson's early models, [23][24][25] and particular issues have been discussed by researchers. 12, In Lu et al 2020 27 fostered a compartmental model for the yearly revealed HIV/AIDS MSM in the Zhejiang Region of China between 2007 to 2019 and anticipated that 90 percent of people tested for HIV/AIDS will have received treatment by 2020 neglecting those that fall out of treatment, while the screened extent will remain as low as 40 percent, and that antiretroviral treatment (ART) can control the transmission of HIV, even within the sight of medication opposition. Rana and Sharma, 2020 30 presented a simple Likely to be exposed-Infected (i.e.SI) form of the HIV/AIDS mathematical model, given the supposition that changing from an AIDS-infected to an HIV-infected individual is conceivable, to understand disease dynamics and develop strategies to reduce or control disease transmission among individual.…”

Section: Introductionmentioning

confidence: 99%

Qualitative analysis of HIV and AIDS disease transmission: impact of awareness, testing and effective follow up

Abiodun

Adebimpe²,

Ndako³

et al. 2023

F1000Res

View full text Add to dashboard Cite

Background: Since the early 1980s, human immunodeficiency virus (HIV) and its accompanying acquired immunodeficiency syndrome (AIDS) have spread worldwide, becoming one of the world's major global health issues. From the beginning of the epidemic until 2020, about 79.3 million people became infected, with 36.3 million deaths due to AIDS illnesses. This huge figure is a result of those unaware of their status due to stigmatization and invariably spreading the virus unknowingly. Methods: Qualitative analysis through a mathematical model that will address HIV unaware individuals and the effect of an increasing defaulter on the dynamics of HIV/AIDS was investigated. The impact of treatment and the effect of inefficient follow-up on the transmission of HIV/AIDS were examined. The threshold for the effective reduction of the unaware status of HIV through testing, in response to awareness, and the significance of effective non-defaulting in treatment commonly called defaulters loss to follow-up as these individuals contribute immensely to the spread of the virus due to their increase in CD4+ count was determined in this study. Stability analysis of equilibrium points is performed using the basic reproduction number $R_0$, an epidemiological threshold that determines disease eradication or persistence in viral populations. We tested the most sensitive parameters in the basic reproduction numbers. Results: The results portray that early identification and treatment only are inadequate for the illness to be eradicated, but effectively used of condom, strict adherence to treatment and counseling of and testing of pregnant women contribute to a decrease in infected HIV individuals. Conclusions: Other control techniques, such as treatment adherence and effective condom usage, and reduction in vertical transmission cannot be over-emphasis to lessen the disease's burden. Policymakers must address these strategies through a series of public awareness campaigns about the dangers of not adhering to treatment procedures and patterns.

show abstract

“…In recent years, there has been an increase in the number of studies on HIV/AIDS transmission [12][13][14][15][16][17][18][19][20][21][22]. For example, Moya and Marrero [12] presented a stochastic model using Markov chains to study the transmission of HIV/AIDS and control chain elements proposed control strategies.…”

Section: Introductionmentioning

confidence: 99%

“…Ogunlaran and Noutchie [18] proposed a mathematical model with two control variables, where the uninfected CD4+T cells follow the logistic growth function and the incidence term is saturated with free virus and apply optimal control approach to maximize the concentration of uninfected CD4+T cells in the body by using minimum drug therapies. Lu et al [19] developed a compartmentalized model for annual reporting of HIV in men who have sex with men (MSM) from 2007 to 2019 in the Zhejiang region and proved that the 90-90-90 target alone may not eliminate the HIV epidemic in Chinese men who have sex with men.…”

Section: Introductionmentioning

confidence: 99%

A Mathematical Model for HIV/AIDS Under Pre-Exposure and Post-Exposure Prophylaxis

Moya

Rodrigues

Pietrus

et al. 2022

BIOMATH

View full text Add to dashboard Cite

HIV/AIDS has a strong impact on society, the economy, and health. Early diagnosis of cases, adherence to treatment, and prevention are important factors in controlling the epidemic in the population. In this paper, we present a new mathematical model for the study of HIV/AIDS transmission. Our model is stratified in men and women, to account for the main forms of sexual transmission homosexual and heterosexual relationships, and infectiousness in the HIV and AIDS stages. In addition, in the construction of the model, we take into account the influence of Pre-Exposure Prophylaxis (PrEP) and Post-Exposure Prophylaxis (PEP) to study the impact of these implementations, diagnosis, and effectiveness of treatment based on viral load undetectability. We study the basic reproduction number by subpopulation (men and women) and general. Working by subpopulations allows us to study men who have sex with men who have a strong impact on virus transmission. Also, we study the infection-free equilibrium points due to their relationship with the basic reproduction number and demonstrate the global stability by subpopulation and general. To explore our model, we performed computational simulations on a scenario designed with data from the literature and assumed, studying the influence of the parameters associated with the use of PrEP, PEP, and undetectability on the basic reproduction number by varying them individually and jointly. We concluded that in women the basic reproduction number is always lower than unity and that in men the parameter associated with the undetectability of the viral load in HIV men has a strong influence on the dynamics. We also address the impact of PrEP, PEP, and undetectability in HIV and AIDS on the compartments, considering different scenarios varying the parameters jointly and independently and by sex which show difficulty in reducing women with AIDS. The scenario that showed the best results in the reduction of the number of HIV and AIDS cases was when the parameters associated with undetectability in HIV and AIDS men and women take the 90-90-90 that is proposed in the World Health Organization (WHO) strategy.

show abstract

A mathematical model for HIV prevention and control among men who have sex with men in China

Cited by 12 publications

References 18 publications

Qualitative analysis of HIV and AIDS disease transmission: impact of awareness, testing and effective follow up

Qualitative analysis of HIV and AIDS disease transmission: impact of awareness, testing and effective follow up

Qualitative analysis of HIV and AIDS disease transmission: impact of awareness, testing and effective follow up

A Mathematical Model for HIV/AIDS Under Pre-Exposure and Post-Exposure Prophylaxis

Contact Info

Product

Resources

About