一类病毒动力学模型的全局稳定性分析

Global Stability Analysis for a Viral Dynamic Model

在病毒能影响未感染细胞产生的假设下,研究了一类被感染细胞具有潜伏和活性两阶段的动力学模型,给出病毒存在与否的阈值,并讨论了平衡点的存在性.通过微分方程稳定性理论得到病毒灭绝平衡点的全局渐近稳定性,利用自治收敛定理证明了病毒存在平衡点的全局渐近稳定性.

Under the assumption that virus can affect the input of uninfected cells,a viral dynamic model with latently and actively infected cells is investigated.The threshold identified which determines the outcome of virus is given and the existence of the equilibrium is discussed.Using the stable theory and autonomous convergent theory,the global asymptotical stability of the virus extinction equilibrium and the virus existence equilibrium are proved in the paper.