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2009•Journal of the University of Shanghai for Science and TechnologyRequires access

SIQRS epidemic model with delay corresponding to immune period and saturated incidence rate

Meijuan Wang

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Abstract

SIQRS epidemic model with delay corresponding to immune period and saturated incidence rate was studied.The reproduction number for the model was found,which determines the existence of the infective disease.For the SIQRS epidemic models,by means of Liapunov functions,a few sufficient conditions of the global stability of the disease-free equilibrium were obtained.The local asymptotic stability of the endemic equilibrum was proved.

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What this paper is about

SIQRS epidemic model with delay corresponding to immune period and saturated incidence rate was studied.The reproduction number for the model was found,which determines the existence of the infective disease.For the SIQRS epidemic models,by means of Liapunov functions,a few sufficient conditions of the global stability of the disease-free equilibrium were obtained.The local asymptotic stability of the endemic equilibrum was proved.

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Available abstract

SIQRS epidemic model with delay corresponding to immune period and saturated incidence rate was studied.The reproduction number for the model was found,which determines the existence of the infective disease.For the SIQRS epidemic models,by means of Liapunov functions,a few sufficient conditions of the global stability of the disease-free equilibrium were obtained.The local asymptotic stability of the endemic equilibrum was proved.

Key concepts: Epidemic model, Basic reproduction number, Stability (learning theory), Incidence (geometry), Mathematics, Control theory (sociology), Exponential stability, Applied mathematics

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