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Global dynamics in a class of discrete-time epidemic models with disease courses
2013
Advances in Difference Equations
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In this paper, a class of discrete SIRS epidemic models with disease courses is studied. The basic reproduction number R 0 is computed. The main results on the permanence and extinction of the disease are established. That is, the disease-free equilibrium is globally attractive if R 0 < 1, and there exists a unique endemic equilibrium and the disease is also permanent if R 0 > 1. MSC: 39A30; 92D30
doi:10.1186/1687-1847-2013-57
fatcat:inysmdsryzhcpkd6bv3xcwp4hy