scholarly journals Global stability for an HIV/AIDS epidemic model with different latent stages and treatment

2013 ◽  
Vol 37 (3) ◽  
pp. 1480-1489 ◽  
Author(s):  
Hai-Feng Huo ◽  
Li-Xiang Feng
Keyword(s):  
Global Stability ◽  
Epidemic Model ◽  
Aids Epidemic ◽  
Hiv Aids

scholarly journals Analysis of global stability of HIV/AIDS epidemic model in homogeneous community

2020 ◽  
Vol 1567 ◽  
pp. 022081
Author(s):  
Sutimin ◽  
S Khabibah ◽  
D A Munawwaroh ◽  
R H Soelistyo ◽  
A Henindya
Keyword(s):  
Global Stability ◽  
Epidemic Model ◽  
Aids Epidemic ◽  
Hiv Aids

scholarly journals Dynamic analysis and optimal control of a three-age-class HIV/AIDS epidemic model in China

2020 ◽  
Vol 25 (9) ◽  
pp. 3491-3521
Author(s):  
Hongyong Zhao ◽  
◽  
Peng Wu ◽  
Shigui Ruan ◽  
Keyword(s):  
Optimal Control ◽  
Dynamic Analysis ◽  
Epidemic Model ◽  
Age Class ◽  
Aids Epidemic ◽  
Hiv Aids

Treatment of HIV/AIDS epidemic model with vertical transmission by using evolutionary Padé-approximation

2020 ◽  
Vol 134 ◽  
pp. 109686 ◽  
Author(s):  
Muhammad Farhan Tabassum ◽  
Muhammad Saeed ◽  
Ali Akgül ◽  
Muhammad Farman ◽  
Nazir Ahmad Chaudhry
Keyword(s):  
Vertical Transmission ◽  
Epidemic Model ◽  
Padé Approximation ◽  
Pade Approximation ◽  
Aids Epidemic ◽  
Hiv Aids

scholarly journals Analysis of HIV Transmission of Commercial Sex Wokers and Their Clients with Condom Use Treatment

2019 ◽  
Vol 125 ◽  
pp. 05003 ◽  
Author(s):  
Sutimin ◽  
Siti Khabibah ◽  
Dita Anies Munawwaroh ◽  
R. Heri Soelistyo U
Keyword(s):  
Condom Use ◽  
Global Stability ◽  
Sex Workers ◽  
Hiv Transmission ◽  
Equilibrium States ◽  
Endemic Equilibrium ◽  
Reproduction Ratio ◽  
Aids Epidemic ◽  
The Impact ◽  
Hiv Aids

A model of the HIV/AIDS epidemic among sex workers and their clients is discussed to study the effects of condom use in the prevention of HIV transmission. The model is addressed to determine the existence of equilibrium states, and then analyze the global stability of disease free and endemic equilibrium states. The global stability of equilibria depends on the vales of the basic reproduction ratio derived from the next generation matrix of the model. The endemic equilibrium state is globally stable when the ratio exceeds unity. The simulation results are presented to discuss the effect of condom use treatment in preventing the spread of HIV/AIDS among sex workers and their clients. The results show that the effectiveness level in using condoms in sexual intercourse corresponds to the decreasing level of the spread of HIV/AIDS. We use Maple and Matlab software to simulate the impact of condom use.

Stochastic dynamics of an HIV/AIDS epidemic model with treatment

2018 ◽  
Vol 42 (5) ◽  
pp. 605-621 ◽  
Author(s):  
Mozart U. Nsuami ◽  
Peter J. Witbooi
Keyword(s):  
Epidemic Model ◽  
Stochastic Dynamics ◽  
Aids Epidemic ◽  
Hiv Aids
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