A differential equation model of HIV infection of CD4(+) T-cells with cure rate

作者：Zhou Xueyong; Song Xinyu^*; Shi Xiangyun

来源：Journal of Mathematical Analysis and Applications, 2008, 342(2): 1342-1355.

DOI：10.1016/j.jmaa.2008.01.008

• HIV
• globally asymptotical stability
• periodic solution

A differential equation model of HIV infection of CD4(+) T-cells with cure rate is studied. We prove that if the basic reproduction number R-0 < 1, the HIV infection is cleared from the T-cell population and the disease dies out; if R-0 > 1, the HIV infection persists in the host. We find that the chronic disease steady state is globally asymptotically stable if R-0 > 1. Furthermore, we also obtain the conditions for which the system exists an orbitally asymptotically stable periodic solution. Numerical simulations are presented to illustrate the results.

• 出版日期2008-6-15
• 单位河南大学; 信阳师范学院