Geodesic
Global Asymptotic Stability of Equilibria in Models for Virus Dynamics
J. Prüss1 ; R. Zacher1 ; R. Schnaubelt2
1 Institut für Mathematik, Martin-Luther-Universität, D-06099 Halle, Germany
2 Fakultät für Mathematik, Universität Karlsruhe, D-76128 Karlsruhe, Germany
Mathematical modelling of natural phenomena, Tome 3 (2008) no. 7, pp. 126-142.

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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 R0 of the virus, the corresponding equilibrium is globally asymptotically stable. If R0 1 then the virus-free equilibrium has this property, and in case R0 > 1 there is a unique disease equilibrium which takes over this property.
DOI : 10.1051/mmnp:2008045

J. Prüss 1 ; R. Zacher 1 ; R. Schnaubelt 2

1 Institut für Mathematik, Martin-Luther-Universität, D-06099 Halle, Germany
2 Fakultät für Mathematik, Universität Karlsruhe, D-76128 Karlsruhe, Germany 
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J. Prüss; R. Zacher; R. Schnaubelt. Global Asymptotic Stability of Equilibria in Models for Virus Dynamics. Mathematical modelling of natural phenomena, Tome 3 (2008) no. 7, pp. 126-142. doi : 10.1051/mmnp:2008045. http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008045/

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