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Global stability of an SEIS epidemic model with recruitment and a varying total population size. (English) Zbl 1005.92030
Summary: This paper considers an SEIS epidemic model that incorporates constant recruitment, disease-caused death and disease latency. The incidence term is of the bilinear mass-action form. It is shown that the global dynamics is completely determined by the basic reproduction number $$R_0$$. If $$R_0\geq 1$$, the disease-free equilibrium is globally stable and the disease dies out. If $$R_0>1$$, a unique endemic equilibrium is globally stable in the interior of the feasible region and the disease persists at the endemic equilibrium.

MSC:
 92D30 Epidemiology 34D23 Global stability of solutions to ordinary differential equations 34D20 Stability of solutions to ordinary differential equations
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References:
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