Global Asymptotic Stability of Equilibria in Models for Virus Dynamics
J. Prüss, R. Zacher, R. Schnaubelt (2008)
Mathematical Modelling of Natural Phenomena
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In this paper several models in virus dynamics with and without immune response are discussed concerning asymptotic behaviour. The case of immobile cells but diffusing viruses and T-cells is included. It is shown that, depending on the value of the basic reproductive number of the virus, the corresponding equilibrium is globally asymptotically stable. If < 1 then the virus-free equilibrium has this property, and in case > 1 there...