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Global stability of an SEI epidemic model. (English) Zbl 1045.34025

Summary: This paper considers an SEI epidemic model that incorporates constant recruitment and has infectious force in the latent period and infected period. By means of Lyapunov function and LaSalle’s invariant set theorem, we prove global asymptotical stable results of the disease-free equilibrium and the epidemic equilibrium by using the Poincaré-Bendixson property.

MSC:

34D23 Global stability of solutions to ordinary differential equations
92D30 Epidemiology
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