The spectral mapping theorem for evolution semigroups on spaces of vector-valued functions.
Global Asymptotic Stability of Equilibria in Models for Virus Dynamics
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 is a unique...
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