Stability of periodic solutions for an SIS model with pulse vaccination

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• 作者：Zhou ; Yicang ; Liu ; Hanwu
• 关键词：Epidemic model ; Pulse vaccination ; Periodic solution ; Basic reproductive number ; Stability
• 刊名：Mathematical and Computer Modelling
• 出版年：2003
• 出版时间：August, 2003
• 年：2003
• 卷：38
• 期：3-4
• 页码：299-308
• 全文大小：701 K

文摘

Pulse vaccination is an important strategy for the elimination of infectious diseases. A mathematical SIS model with pulse vaccination is formulated in this paper. The dynamical behavior of the model is studied, and the basic reproductive number R₀ is defined. It is proved that the disease-free periodic solution is stable if R₀ < 1, and it is unstable if R₀ > 1. The global stability of the disease-free periodic solution is studied and sufficient condition is obtained. The existence and stability of the endemic periodic solution are investigated analytically and numerically.