Biology – Quantitative Biology – Cell Behavior
Scientific paper
2007-07-30
Biology
Quantitative Biology
Cell Behavior
Scientific paper
We consider within-host virus models with more than one strain and allow mutation between the strains. If there is no mutation, a Lyapunov function establishes global stability of the steady state corresponding to the fittest strain. For small perturbations this steady state persists, perhaps with small concentrations of some or all other strains, depending on the connectivity of the graph describing all possible mutations. Moreover, using a perturbation result due to Smith and Waltman, we show that this steady state also preserves global stability.
Leenheer Patrick de
Pilyugin Sergei S.
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