An HIV Model with Antiviral Immune Response and Antiretroviral Therapy
We present an HIV model incorporating antiviral immune response and antiretroviral therapy.The basic reproduction number is obtained to ensure the stability of the healthy steady states, and one critical condition is observed for the existence of the infected steady state. Qualitative analysis of the model such as the global asymptotic stability of the healthy steady state is shown by constructing a Lyapunov function. The local asymptotic stability of the infected steady state is also provided. We then discuss the effect of varying combination drug efficacy on model behavior numerically. Furthermore, we investigate the negative or positive correlation between CTL responsiveness, T-cells, viral load, and CTLs count.
HIV CD4+ T-cells CTLs Antiretroviral therapy Asymptotic stability
Yan Wang Yicang Zhou
Department of Applied Mathematics, Xian Jiaotong University,Xian,Shaanxi 710049, China
国际会议
The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)
南京
英文
1404-1409
2011-06-01（万方平台首次上网日期，不代表论文的发表时间）