一类具有免疫时滞的HIV感染模型分析

摘要

An HIV model with full Logistic proliferation of CD4+ T-cells and retarded immune response is investigated,global asymptotic stability of the infectio-free equilibrium is analyzed, and the sufficient conditions of existence of Hopf bifurcation around infected equilibrium are studied. Numerical simulating are presented to illustrate the main analytic results, and the effects of the proliferation rate of CD4+ T-cells for the dynamics of system are observed.%研究了一类具有CD4+T细胞完全Logistic增殖和免疫时滞的HIV感染模型,分析了未感染平衡点的全局稳定性,并给出了感染平衡点产生Hopf分支的充分条件.数值模拟证明了主要的分析结果,并且观察到了CD4+免疫细胞增殖率对系统动力学行为的影响.