Article Contents
Article Contents

# General models of host-parasite systems. Global analysis

• We obtain global stability results for within-host models with $k$ age-class of parasitized cells and two strains of parasites. The stability is determined by the value of the basic reproduction ratio $\mathcal R_0$. A competitive exclusion principle holds. This means that if $\mathcal R_0 >1$ generically an unique equilibrium, corresponding to the extinction of one strain and the survival of the other strain, is globally asymptotically stable on the positive orthant.
Mathematics Subject Classification: Primary: 34D23, 34A34; Secondary: 92D30.

 Citation: