Stability Analysis of an In-Host Viral Model with Cure of Infected Cells and Humoral Immunity

[摘要] An in-host viral model with cure of infected cells and humoral immunity is studied. We prove that the stability is completely determined by the basic reproductive numberR0and show that the infection-free equilibriumE0is globally asymptotically stable if and only ifR0≤1. Moreover, ifR0>1, the infection equilibrium is locally asymptotically stable when the time delayτis small and it loses stability as the length of the time delay increases past a critical valueτ0. Finally, we confirm our analysis by providing several numerical examples.

[学科分类] 应用数学