2011Journal of Hengyang Normal UniversityRequires access

Stability of a SIS Epidemic Model with Stage-Structure and Delay

Yang Zhi-feng

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Abstract

This paper exploves a SIS epidemic model that incorporates stage-structure and delay.and the local stability and global stability of two border equilibriums and positive equilibrium are proved,and the endemic threshold is found which the epidemic will endemic or die out.Also,some numerical simulations are provided to confirm our analytic results.

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What this paper is about

This paper exploves a SIS epidemic model that incorporates stage-structure and delay.and the local stability and global stability of two border equilibriums and positive equilibrium are proved,and the endemic threshold is found which the epidemic will endemic or die out.Also,some numerical simulations are provided to confirm our analytic results.

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Available abstract

This paper exploves a SIS epidemic model that incorporates stage-structure and delay.and the local stability and global stability of two border equilibriums and positive equilibrium are proved,and the endemic threshold is found which the epidemic will endemic or die out.Also,some numerical simulations are provided to confirm our analytic results.

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

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