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Global stability of in-host viral models with humoral immunity and intracellular delays. (English) Zbl 1243.34106
Summary: We investigate the dynamical behavior of in-host viral models with humoral immunity and intracellular delays. For both models, using the method of Lyapunov functional, we establish that the global dynamics are determined by two threshold parameters $R_{0}$ and $R_{1}$. If $R_{0}\le 1$, the uninfected equilibrium $E_{0}$ is globally asymptotically stable, and the viruses are cleared. If $R_{1}\le 1 < R_{0}$, the infected equilibrium without B cells response $E_1^*$ is globally asymptotically stable, and the infection becomes chronic but with no persistent B cells response. If $R_{1}$ > 1, the infected equilibrium with B cells response $E_1^*$ is globally asymptotically stable, and the infection is chronic with persistent B cells response. Alone with some numerical simulations.

34K20Stability theory of functional-differential equations
92C60Medical epidemiology
34K60Qualitative investigation and simulation of models
Full Text: DOI
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