2013•Journal of Guizhou UniversityRequires access

A Qualitative Analysis of an SEIS Epidemic Model with Nonlinear Incidence Rate

Guo Jin-shen

Abstract

This paper discusses a kind of epidemic model SEIS with nonlinear incidence rate,through the qualitative analysis,a threschold R0which determines the epidemic will disappear and become endemic is obtained,If R0≤1,the disease-free equilibrium is globally asymptotically stable. If R0 1,the unique endemic equilibrium is globally asymptotically stable.

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Key concepts: Epidemic model, Stability theory, Mathematics, Nonlinear system, Qualitative analysis, Incidence (geometry), Mathematical economics, Equilibrium point