2009•Journal of Southwest UniversityRequires access

Qualitative Analysis of an Epidemiological Model of SIS Type with Nonlinear Incidence

Duan Li-jiang

Abstract

An epidemiological model with nonlinear incidence is studied.By using the qualitative theory of ordinary differential equations,sufficient conditions are obtained for the existence and uniqueness of the limit cycles and the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium to the system.

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Key concepts: Uniqueness, Mathematics, Nonlinear system, Ordinary differential equation, Equilibrium point, Qualitative analysis, Incidence (geometry), Limit (mathematics)