2013•Journal of Jinggangshan UniversityRequires access

GLOBAL STABILITY OF AN SIR EPIDEMIC MODEL WITH SPECIES LOGISTIC GROWTH AND SATURATING INFECT RATE

Gong Zhao-gang

Abstract

An SIR epidemic model with species logistic growth and Saturating Infect 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. Furthermore, some numerical simulations are provided to confirm our analytic results.

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