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2004•Journal of BiomathematicsRequires access

Study on Stability of SIS Epidemiological Model with Time-Varying Delay

Chaojin Fu

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Abstract

In this paper, an SIS epidemiological model with time varying delay is dis- cussed and the existence of the disease-free equilibrium and the endemic equilibrium are proved. Some sufficient condition on global exponential stability of the disease-free equilibrium and local exponential stability of the endemic equilibrium are obtained. And the estimate on domain of attraction of the endemic equilibrium is derived.

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What this paper is about

In this paper, an SIS epidemiological model with time varying delay is dis- cussed and the existence of the disease-free equilibrium and the endemic equilibrium are proved. Some sufficient condition on global exponential stability of the disease-free equilibrium and local exponential stability of the endemic equilibrium are obtained. And the estimate on domain of attraction of the endemic equilibrium is derived.

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Available abstract

In this paper, an SIS epidemiological model with time varying delay is dis- cussed and the existence of the disease-free equilibrium and the endemic equilibrium are proved. Some sufficient condition on global exponential stability of the disease-free equilibrium and local exponential stability of the endemic equilibrium are obtained. And the estimate on domain of attraction of the endemic equilibrium is derived.

Key concepts: Stability (learning theory), Exponential stability, Domain (mathematical analysis), Mathematics, Mathematical economics, Applied mathematics, Equilibrium point, Econometrics

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