具有一般发生率的时滞分布病毒模型的全局稳定性
Global stability of a distributed delayed viral model with general incidence rate
摘要：
本文讨论了一类具有非线性免疫反应和一般传染率的无穷分布时滞病毒感染模型。我们证明了平衡点的存在性和唯一性。利用李雅普诺夫泛函和LaSalle不变原理，得到了无病平衡点、免疫力耗尽平衡点和地方病平衡点的全局稳定性的条件.通过数值模拟验证了分析结果。
英文摘要：
In this paper, we discussed an infinitely distributed delayed viral infection model with nonlinear immune response and general incidence rate. We proved the existence and uniqueness of the equilibria. By using the Lyapunov functional and LaSalle invariance principle, we obtained the conditions of global stabilities of the infection-free equilibrium, the immune-exhausted equilibrium and the endemic equilibrium. Numerical simulations are given to verify the analytical results.
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