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2010•Journal of Northwest Normal UniversityRequires access

The research for an SEIS epidemic model with nonlinear incidence rate

DU Xiu-feng

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Abstract

An epidemic model with constant input and nonlinear incidence rate is investigated,and the basic reproductive number R0 which determines the outcome of the infectious disease is found.The disease-free equilibrium is globally asymptotical stable when R01.Using second additive compound matrix,it is proved that the unique endemic equilibrium is globally asymptotical stable when R01.

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What this paper is about

An epidemic model with constant input and nonlinear incidence rate is investigated,and the basic reproductive number R0 which determines the outcome of the infectious disease is found.The disease-free equilibrium is globally asymptotical stable when R01.Using second additive compound matrix,it is proved that the unique endemic equilibrium is globally asymptotical stable when R01.

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Available abstract

An epidemic model with constant input and nonlinear incidence rate is investigated,and the basic reproductive number R0 which determines the outcome of the infectious disease is found.The disease-free equilibrium is globally asymptotical stable when R01.Using second additive compound matrix,it is proved that the unique endemic equilibrium is globally asymptotical stable when R01.

Key concepts: Basic reproduction number, Epidemic model, Mathematics, Constant (computer programming), Nonlinear system, Outcome (game theory), Incidence (geometry), Nonlinear model

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