2012•Shuxue de shijian yu renshiRequires access

Global Stability of an SIR Epidemic Model with Nonlinear Incidence Rate

Gong Zhao-gang

Abstract

An SIR epidemic model with nonlinear incidence rate 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: Epidemic model, Stability (learning theory), Mathematics, Nonlinear system, Exponential stability, Applied mathematics, Ordinary differential equation, Incidence (geometry)