一类CD4+T细胞感染H IV模型的稳定性分析

摘要

A mathematical model of HIV infection of CD4+ T cells is investigated.The basic reproductive ratio which determines whether the virus is cleared or not is obtained.If the basic reproduction ratio is less than one,the infection-free equilibrium is global asymptotically stable and HIV is cleared from T-cell population.If the basic reproduction ratio is greater than one,the unique infection equilibrium is locally asymptotically stable,and HIV infection persists in the host.%研究一类CD4+T细胞感染 HIV模型的动力学性质。通过分析，得到病毒消除与否的阈值———基本再生数。证明当基本再生数小于1时，未感染病毒平衡点全局渐近稳定，病毒将在宿主体内被清除；当基本再生数大于1时，病毒感染平衡点局部渐近稳定，病毒将在宿主体内永久持续生存。