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2010•Harbin Ligong Daxue xuebaoOpen access

The Analysis for an SEIS Epidemic Model with Nonlinear Incidence Rate

LU Xue-juan

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Abstract

In this paper,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 when R01.Using second additive compound matrix proves that the unique endemic equilibrium is globally asymptotical stable when R01.

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What this paper is about

In this paper,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 when R01.Using second additive compound matrix proves that the unique endemic equilibrium is globally asymptotical stable when R01.

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Available abstract

In this paper,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 when R01.Using second additive compound matrix proves that the unique endemic equilibrium is globally asymptotical stable when R01.

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

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