2012•Journal of Guizhou Normal UniversityRequires access

Global stability of an SIR epidemic model with species Logistic growth

Yang Zhi-feng

Abstract

An SIR epidemic model with species logistic growth is investigated.By using the qualitative theory of ordinary differential equations,sufficient conditions are obtained for the global asymptotic stability of each of feasible equilibrium to the proposed model.Also,some numerical simulations are provided to confirm our analytic results.

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Key concepts: Logistic function, Epidemic model, Stability (learning theory), Ordinary differential equation, Exponential stability, Logistic regression, Mathematics, Applied mathematics