一类带有接种的流行病模型的全局稳定性

Acta mathematica scientia,Series A

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Global Stability of an Epidemic Model with Vaccination

Li Jianquan;Ma Zhien

Department of Applied Mathematics Department of Mathematics and Physics, Air Force Engineering University

Received:2003-10-17 Revised:2004-08-08 Online:2006-02-25 Published:2006-02-25
Contact: Li Jianquan

Abstract

Abstract: An SIRS epidemic model with vaccination is investigated in this paper. For this model, the authors assume that both the immunity periods of the removed individuals and the vaccinated individuals are fixed constants, which may be different each other. For locally asymptotical stability and globallyasymptotical stability of the disease-free equilibrium and the endemic equilibrium, sufficient conditions are obtained for this model.

Key words: Epidemic model, Vaccination, Equilibrium, Stability

CLC Number:

34K20

Li Jianquan;Ma Zhien. Global Stability of an Epidemic Model with Vaccination[J].Acta mathematica scientia,Series A, 2006, 26(1): 21-030.

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Global Stability of an Epidemic Model with Vaccination

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