一类具有溶菌性免疫反应的时滞病毒感染模型的稳定性分析(英文)

Stability Analysis for a Delayed Viral Infection Model with Lytic Immune Response

摘要: 基于一些重要的生物学意义,提出一类更常见的具有溶菌性免疫反应的时滞病毒感染模型.给出了无感染平衡点的局部和全局渐近稳定性的充分条件,还得到感染平衡点的局部渐近稳定性的充分条件.并且研究了时滞对该病毒感染模型的稳定性影响.

Abstract: A class of more general delayed viral infection model with lytic immune response is proposed based on some important biological meanings.The sufficient criteria for local and global asymptotic stabilities of the viral free equilibrium are given,and the sufficient conditions of local asymptotic stability of the infected equilibrium are given too.And the effects of time delay on stabilities of the viral infection model have been studied