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A delayed SEIRS epidemic model with impulsive vaccination and nonlinear incidence rate

A delayed SEIRS epidemic model with impulsive vaccination and nonlinear incidence rate
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摘要 In this paper, a delayed SEIRS epidemic model with nonlinear incidence rate and impul- sive vaccination is investigated. In vaccination strategy, we perform impulsive vaccina- tion of newborn infants. Using the discrete dynamic system determined by stroboscopic map, we obtain an infection-free periodic solution and establish conditions, on which the solution is globally attractive. We also conclude that the disease is permanent if the parameters of the model satisfy appropriate conditions. Finally, we illustrate the effec- tiveness of our theorems with numerical simulation. The results obtained in this paper are a good extension of the results obtained in [J. Hou and Z. Teng, Continuous and impulsive vaccination of SEIR epidemic models with saturation incidence rate, Math. Comput, Simulat. 79 (2009) 3038 3054] to the corresponding delayed SEIRS epidemic model with nonlinear incidence rate and impulsive vaccination.
出处 《International Journal of Biomathematics》 2014年第3期149-162,共14页 生物数学学报(英文版)
基金 This work is supported by the National Natural Science Foundation of China under Grant 61174039. The authors would like to thank the editor and reviewers for their hard work to the improvement of the quality of this paper.
关键词 SEIRS impulsive vaccination DELAY globally attractive permanence. 流行病模型 脉冲接种 传染率 非线性 延迟 离散动力系统 疫苗接种 接种疫苗
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