Analysis of a delayed SIR epidemic model with pulse vaccination

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• 作者：Shujing Gao ; Zhidong Teng ; Dehui Xie
• 刊名：Chaos, Solitons and Fractals
• 出版年：2009
• 出版时间：30 April 2009
• 年：2009
• 卷：40
• 期：2
• 页码：1004-1011
• 全文大小：245 K

文摘

In this paper, a delayed SIR epidemic model with pulse vaccination is investigated. By the comparison theorem for impulsive differential equations, we obtain that the infection-free periodic solution is globally attractive if the vaccination rate is larger enough. Moreover, we show that the disease is permanent if the vaccination proportion is less than some critical value under appropriate condition. By Brouwer’s fixed-point theorem, we establish sufficient condition for the existence of positive periodic solution. Our results indicate that a large vaccination rate or a short period of pulsing is a sufficient condition for the eradication of the disease.