A NESTED MODEL ON HIV/AIDS, ANTIRETROVIRAL THERAPY AND DRUG RESISTANCE

Peipei Hu; Jie Lou

doi:10.11948/2016053

2016 Volume 6 Issue 3

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Peipei Hu, Jie Lou. A NESTED MODEL ON HIV/AIDS, ANTIRETROVIRAL THERAPY AND DRUG RESISTANCE[J]. Journal of Applied Analysis & Computation, 2016, 6(3): 827-850. doi: 10.11948/2016053

Citation:

Peipei Hu, Jie Lou. A NESTED MODEL ON HIV/AIDS, ANTIRETROVIRAL THERAPY AND DRUG RESISTANCE[J]. Journal of Applied Analysis & Computation, 2016, 6(3): 827-850. doi: 10.11948/2016053

A NESTED MODEL ON HIV/AIDS, ANTIRETROVIRAL THERAPY AND DRUG RESISTANCE

Peipei Hu,
Jie Lou

Department of Mathematics, Shanghai University, 99 Shangda Road Shanghai 200444, P. R. China

Fund Project:

Abstract

Abstract

A coupled within-(immunological) and between-host (epidemiological) dynamic model was developed which is about the spreading of drugsensitive HIV strain and drug-resistant HIV strain in men who have sex with men (MSM) population. The within-host model was nested within the betweenhost model by linking the dynamics of the within-host model to the additional host mortality and transmission rate of the infection. The existences of equilibria and their stabilities were found, as well as the thresholds R_S and R_R for the two different strains of the nested model. Some simulations about the spreading of the two HIV strains in Beijing MSM population were given. Our results show that the drug-resistant strain will increase quite fast in this population and both strains can coexist, which will make a big pressure for China's "Four-Free-One-Care Policy".
- Within-host /
- between-host /
- nested model /
- HIV/AIDS /
- drug-sensitive strain /
- drug-resistant strain
MSC: 39A11;92D30

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