scholarly journals Mathematical Epidemic Model of HIV/AIDS in Pakistan

2018 ◽  
Vol 18 (1) ◽  
pp. 14-23 ◽  
Author(s):  
Syed Rizwan Ul Haq Tirmizi ◽  
Nasiruddin Khan ◽  
Syed Talha Tirmizi ◽  
Syeda Amara Tirmizi

In Pakistan the effect population mobility, specifically labor migration and refugees is also thought to have been important in explaining the rapid spread of HIV/AIDS. One of the effects labor migration is likely to have had increased the prevalence of the overlap of sexual partnership. A nonlinear fractional differential equation model is discussed for transmission and control of HIV/AIDS in Pakistan. We shall also discuss the disease free equilibrium and stability behavior of the model Bangladesh Journal of Medical Science Vol.18(1) 2019 p.14-23

2020 ◽  
Vol 19 (3) ◽  
pp. 501-508
Author(s):  
Syed Rizwan Ul Haq Tirmizi ◽  
Syed Talha Tirmizi ◽  
Nasiruddin Khan ◽  
Syeda Amara Tirmizi

Background: HIV/AIDS is nowadays considered as the greatest public health disaster of modern time. It has become the challenge for the global population for decades. Method: In our study, we shall emphasize on comparative study which coordinates the field of health awareness activities on the basis of educational and informational campaigns. Result: For this purpose we generate a mathematical model having two susceptible classes depending on changes in behavior with educational activities. Conclusion: We shall try to create stability between the numbers of infected individuals and the cost of the education campaign using optimal control theory. Bangladesh Journal of Medical Science Vol.19(3) 2020 p.501-508


2020 ◽  
Vol 16 (1) ◽  
pp. 71-80
Author(s):  
Sam'un Jaja Raharja ◽  
Dede Akhmad

This study was conducted due to the increasing trend of people living with Human immunodeficiency virus infection and acquired immune deficiency syndrome (HIV/AIDS) (HIV/AIDS) in Subang Regency, West Java Province. This phenomenon was marked by high population mobility. Thus, this study aims to analyze the network model for HIV/AIDS prevention and control in Subang Regency. In this study, a networking approach by collaboration was adopted using six dimensions, namely, governance, administration, organizational autonomy, mutuality, norms and leadership. A qualitative approach is applied to explain a dataset which was a collection of observation and in - depth interview and supported by secondary data from relevant informants who are involved in preventing and reducing HIV/AIDS in Subang Regency. These informants were the actors who represent government agents and non-government organizations. Result showed that all dimensions of collaboration occur on an iterative, cyclical and dynamic process. However, on a practical approach, this model is implemented on a linear and causality basis and can explain a system towards problem-solving and new values forming.


2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Zhiming Li ◽  
Zhidong Teng ◽  
Hui Miao

HIV is one of the major life-threatening viruses that are spreading in the People’s Republic of China (China for short). A susceptible-exposed in the latent stage-infectious (SEI) model is established to sketch the evolution of epidemic. The basic reproduction number is defined. By constructing Lyapunov function, globally asymptotical stabilities of the disease-free and endemic equilibria are given. Then, optimal control theory is applied in HIV/AIDS epidemic. Precaution, screening, and treatment of control variables are introduced and a new model with control is established. Through the HIV/AIDS data in China, all parameters involved in SEI model are analyzed and parts of them are estimated. Further, by control model, optimal strategy is obtained. Results show that the precaution and treatment are the major contributors to preventing and controlling HIV/AIDS epidemic.


2022 ◽  
Vol 2022 ◽  
pp. 1-20
Author(s):  
Shewafera Wondimagegnhu Teklu ◽  
Koya Purnachandra Rao

In this paper, we proposed and analyzed a realistic compartmental mathematical model on the spread and control of HIV/AIDS-pneumonia coepidemic incorporating pneumonia vaccination and treatment for both infections at each infection stage in a population. The model exhibits six equilibriums: HIV/AIDS only disease-free, pneumonia only disease-free, HIV/AIDS-pneumonia coepidemic disease-free, HIV/AIDS only endemic, pneumonia only endemic, and HIV/AIDS-pneumonia coepidemic endemic equilibriums. The HIV/AIDS only submodel has a globally asymptotically stable disease-free equilibrium if R 1 < 1 . Using center manifold theory, we have verified that both the pneumonia only submodel and the HIV/AIDS-pneumonia coepidemic model undergo backward bifurcations whenever R 2 < 1   and R 3 = max R 1 , R 2 < 1 , respectively. Thus, for pneumonia infection and HIV/AIDS-pneumonia coinfection, the requirement of the basic reproduction numbers to be less than one, even though necessary, may not be sufficient to completely eliminate the disease. Our sensitivity analysis results demonstrate that the pneumonia disease transmission rate   β 2 and the HIV/AIDS transmission rate   β 1 play an important role to change the qualitative dynamics of HIV/AIDS and pneumonia coinfection. The pneumonia infection transmission rate β 2 gives rises to the possibility of backward bifurcation for HIV/AIDS and pneumonia coinfection if R 3 = max R 1 , R 2 < 1 , and hence, the existence of multiple endemic equilibria some of which are stable and others are unstable. Using standard data from different literatures, our results show that the complete HIV/AIDS and pneumonia coinfection model reproduction number is R 3 = max R 1 , R 2 = max 1.386 , 9.69   = 9.69   at β 1 = 2 and β 2 = 0.2   which shows that the disease spreads throughout the community. Finally, our numerical simulations show that pneumonia vaccination and treatment against disease have the effect of decreasing pneumonia and coepidemic disease expansion and reducing the progression rate of HIV infection to the AIDS stage.


2020 ◽  
Vol 18 (4) ◽  
pp. 228-236
Author(s):  
Zeinab Najafi ◽  
Leila Taj ◽  
Omid Dadras ◽  
Fatemeh Ghadimi ◽  
Banafsheh Moradmand ◽  
...  

: Iran has been one of the active countries fighting against HIV/AIDS in the Middle East during the last decades. Moreover, there is a strong push to strengthen the national health management system concerning HIV prevention and control. In Iran, HIV disease has its unique features, from changes in modes of transmission to improvement in treatment and care programs, which can make it a good case for closer scrutiny. The present review describes the HIV epidemic in Iran from the first case diagnosed until prevention among different groups at risk and co-infections. Not only we addressed the key populations and community-based attempts to overcome HIV-related issues in clinics, but we also elaborated on the efforts and trends in society and the actual behaviors related to HIV/AIDS. Being located in the Middle East and North Africa (MENA) region, given the countryspecific characteristics, and despite all the national efforts along with other countries in this region, Iran still needs to take extra measures to reduce HIV transmission, especially in health education. Although Iran is one of the pioneers in implementing applicable and appropriate policies in the MENA region, including harm reduction services to reduce HIV incidence, people with substance use disorder continue to be the majority of those living with HIV in the country. Similar to other countries in this region, the HIV prevention and control programs aim at 90-90-90 targets to eliminate HIV infection and reduce the transmission, especially the mother-to-child transmission and among other key populations.


2003 ◽  
Vol 22 (1) ◽  
pp. 125-129 ◽  
Author(s):  
Adesola O. Oyelese

The AIDS epidemic continues and HIV-infected persons continue to suffer stigmatization and discrimination in Nigeria. The results of an open-ended questionnaire administered non-randomly in Ile-Ife and Ilesa in the late 1990s confirm this. Six questions on Acquired Immunodeficiency Syndrome (AIDS) were asked; 83 (36.4%) males and 145 (63.6%) females aged between 11 and 60 years responded. The respondents included 101 students, 49 civil servants, 39 artisans and traders. Others included 29 health professionals (doctors and nurses, etc.), 8 teachers, and 2 commercial sex workers. The median of negative responses (rejection) is 42.2%. It is concluded that there still exists a significant but suppressed or subtle stigmatization and discrimination against HIV-infected people, a major constraint in the management and control of HIV/AIDS.


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