2011Journal of Dalian Jiaotong UniversityRequires access

Stability of A SIRS Epidemic Model with Stage-Structure

Qiujuan Zhang

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Abstract

A SIRS epidemic model is considered to incorporate stage-structure and function of birth.Through qualitative analysis,the endemic threshold is found.The global stability of disease-free equilibrium and the local stability of positive equilibrium are proved.

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A SIRS epidemic model is considered to incorporate stage-structure and function of birth.Through qualitative analysis,the endemic threshold is found.The global stability of disease-free equilibrium and the local stability of positive equilibrium are proved.

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Available abstract

A SIRS epidemic model is considered to incorporate stage-structure and function of birth.Through qualitative analysis,the endemic threshold is found.The global stability of disease-free equilibrium and the local stability of positive equilibrium are proved.

Key concepts: Stability (learning theory), Epidemic model, Stage (stratigraphy), Mathematics, Applied mathematics, Mathematical economics, Statistical physics, Econometrics

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