具饱和CTL免疫反应的时滞HIV感染系统稳定性分析

Stability Analysis of a Delayed HIV Infection System with Saturated CTL-immune Response

考虑CTL免疫反应的饱和效应及免疫时滞两个因素,建立HIV感染模型.分析了无感染平衡点的全局稳定性,得到了系统免疫未激活平衡点及免疫激活平衡点局部渐近稳定的充分条件.针对功能反应函数中的参数及免疫时滞,讨论了免疫被激活平衡点附近存在Hopf分支的充分条件.最后,对所得理论结果进行了数值模拟.

Saturation effects and delay of CTL -immune Response are both considered for HIV dynamics invivo.The global stability of the infection-free equilibrium is analyzed,and the sufficient conditions for local stability of the CTLs-absent infection equilibrium and CTLs-present infection equilibrium are obtained.Further,the existence of Hopf bifurcation near the CTLs-present infection equilibrium is discussed according to the functionalresponse parameters and delay.In the end,some numerical simulations are illustrated.