| Volume 5, Number 4, 2015, Pages 731-750 DOI：10.11948/2015056 |
| The coupled within- and between-host dynamics in the evolution of HIV/AIDS in China |
| Jie Lou,Hongna Zhou,Dong Liang,Zhen Jin,Baojun Song |
| Keywords:Within-host, between-host, nesting model,HIV/AIDS |
| Abstract: |
| In this work, we develop and analyze mathematical models for thecoupled within-host and between-host dynamics caricaturing the evolutionof HIV/AIDS. The host population is divided into susceptible, the infectedwithout receiving treatment and the infected receiving ART treatment in accordancewith China’s Four-Free-One-Care Policy. The within-host model is a typicalODE model adopted from literatures. The between-host model incorporatesage-since-infection described by a system of integrodifferential equations. Thetwo models are coupled via the viral load and number of CD4+ T cells ofwithin the hosts. For the between-host model with an arbitrarily selectedHIV infected individual, we focus on the analyses of the basic reproductionnumber R0 and the stabilities of equilibria. Through simulations we also findthat the within-host dynamics does influence the between-host dynamics, andthe nesting of within-host and between-host play a very important role in theHIV/AIDS evolution. |
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