一类具有饱和发生率的病毒感染模型的稳定性分析

摘要

讨论了具有饱和发生率xβ+xvvp的病毒感染模型。对于模型中p≥2的情况进行稳定性分析。得到了当病毒感染阈值R0<1时，无病平衡点全局渐近稳定；当R0>1时，持续带毒平衡点全局渐近稳定。%In this paper, we considered a viral infection model with saturated incidence rate xβ+xvvp . For a special case p≥2,we studied the stability of the model. The main result is that disease-free equilibrium is globally asymptotically stable for R0<1 and endemic equilibrium is globally asymptotically stable when R0>1.