【摘要】 研究了一类具有潜伏期和体液免疫应答的病毒感染模型的动力学性质.利用Lyapunov泛函和LaSalle不变集原理,对模型的未感染平衡点全局稳定性进行了分析,对体液免疫未激活和体液免疫已激活的感染平衡点给出了全局渐近稳定的充分条件.推广了Bonhoefler(1997)和Nowak(2000)等的工作,获得了一些新结果.更多还原

【Abstract】 In this paper,dynamic property about a virus infection model with latent period and humoral immune response is studied.By using Lyapunov functionals and LaSalle invariance principle,the global stability of the infection-free equilibrium is analyzed,and thesufficient conditions of global asymptotical stability of the humoral immunity-absent infection equilibrium and humoral immunity-present infection equilibrium are obtained.The result we obtained here generalized the result of Bonhoeffer(1997)and Nowak(2000)et al,some new results obtained.更多还原