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2007•Journal of Sichuan Normal UniversityRequires access

An SIS Epidemic Model with Stage-structure

Gou Qing-ming

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Abstract

In this paper,an epidemic model with stage-structure is studied.The basic reproduction number,R0,is obtained for the model.It is shown that if R01,the disease-free equilibrium is locally asymptotically stable;whereas if R01,it is unstable,but the endemic equilibrium is locally asymptotically stable.Furthermore,the conditions that the disease-free equilibrium be globally asymptotically stable and the disease be uniformly persistent are discussed.

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What this paper is about

In this paper,an epidemic model with stage-structure is studied.The basic reproduction number,R0,is obtained for the model.It is shown that if R01,the disease-free equilibrium is locally asymptotically stable;whereas if R01,it is unstable,but the endemic equilibrium is locally asymptotically stable.Furthermore,the conditions that the disease-free equilibrium be globally asymptotically stable and the disease be uniformly persistent are discussed.

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Available abstract

In this paper,an epidemic model with stage-structure is studied.The basic reproduction number,R0,is obtained for the model.It is shown that if R01,the disease-free equilibrium is locally asymptotically stable;whereas if R01,it is unstable,but the endemic equilibrium is locally asymptotically stable.Furthermore,the conditions that the disease-free equilibrium be globally asymptotically stable and the disease be uniformly persistent are discussed.

Key concepts: Stability theory, Basic reproduction number, Epidemic model, Mathematics, Applied mathematics, Stability (learning theory), Mathematical economics, Stage (stratigraphy)

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