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2011•Journal of Shihezi UniversityRequires access

An SIRS Epidemic Model with an Age-Structured

Jianghong Bai

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Abstract

An SIRS epidemic model with an age-structured is studied.By using the theory and methods of Differential and Integral Equation,the explicit expression of the basic reproductive number R0 was obtained.It is showed that the disease-free equilibrium is locally and globally asymptotically stable if R01,at least one endemic equilibrium exists if R01,the stability conditions of endemic equilibrium are also given.

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An SIRS epidemic model with an age-structured is studied.By using the theory and methods of Differential and Integral Equation,the explicit expression of the basic reproductive number R0 was obtained.It is showed that the disease-free equilibrium is locally and globally asymptotically stable if R01,at least one endemic equilibrium exists if R01,the stability conditions of endemic equilibrium are also given.

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Available abstract

An SIRS epidemic model with an age-structured is studied.By using the theory and methods of Differential and Integral Equation,the explicit expression of the basic reproductive number R0 was obtained.It is showed that the disease-free equilibrium is locally and globally asymptotically stable if R01,at least one endemic equilibrium exists if R01,the stability conditions of endemic equilibrium are also given.

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

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