Global stability of a delayed SIRI epidemic model with nonlinear incidence (Q1653460)
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scientific article; zbMATH DE number 6913836
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| English | Global stability of a delayed SIRI epidemic model with nonlinear incidence |
scientific article; zbMATH DE number 6913836 |
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Global stability of a delayed SIRI epidemic model with nonlinear incidence (English)
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6 August 2018
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Summary: In this paper we propose the global dynamics of an SIRI epidemic model with latency and a general nonlinear incidence function. The model is based on the susceptible-infective-recovered (SIR) compartmental structure with relapse (SIRI). Sufficient conditions for the global stability of equilibria (the disease-free equilibrium and the endemic equilibrium) are obtained by means of Lyapunov-LaSalle theorem. Also some numerical simulations are given to illustrate this result.
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