Global attractivity and permanence of a delayed SVEIR epidemic model with pulse vaccination and saturation incidence

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• 作者：Yu Jiang ; Huiming Wei ; Xinyu Song ; Liquan Mei ; Guanghui Su ; Suizheng Qiu
• 关键词：Epidemic model ; Time delay ; Pulse vaccination ; Permanence ; Globally attractive
• 刊名：Applied Mathematics and Computation
• 出版年：2009
• 出版时间：15 July 2009
• 年：2009
• 卷：213
• 期：2
• 页码：312-321
• 全文大小：493 K

文摘

In this study, we formulate and analyze a new SVEIR epidemic disease model with time delay and saturation incidence, and analyze the dynamic behavior of the model under pulse vaccination. Using the discrete dynamical system determined by the stroboscopic map, we obtain an ‘infection-free’ periodic solution, further, show that the ‘infection-free’ periodic solution is globally attractive for some parameters of the model under appropriate conditions. The permanence of the model is investigated analytically. By computer simulation it is concluded that a large vaccination rate or a short pulse of vaccination or a long latent period are each a sufficient condition for the extinction of the disease.