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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 1, the uninfected equilibrium E 0 is globally asymptotically stable, and the viruses are cleared. If R 1 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.
MSC:
34K20Stability theory of functional-differential equations
92C60Medical epidemiology
34K60Qualitative investigation and simulation of models
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