| 一类具有时滞和脉冲接种的SEIRS传染病模型 |
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| 引用本文： | 杜艳可,徐瑞.一类具有时滞和脉冲接种的SEIRS传染病模型[J].北华大学学报(自然科学版),2011(3):258-264. |
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| 作者姓名： | 杜艳可 徐瑞 |
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| 作者单位： | 军械工程学院应用数学研究所; |
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| 基金项目： | 国家自然科学基金项目(10671209,11071254) |
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| 摘 要： | 研究了一类具有时滞和脉冲接种的SEIRS传染病模型,应用脉冲微分方程比较定理和分析的方法得到了无病周期解的全局吸引性和系统持久性的充分条件,结果表明了时滞、非线性发生率、脉冲接种以及免疫力丧失对模型动力学性质的影响.
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| 关 键 词： | 脉冲接种 SEIRS传染病模型 全局吸引性 持久性 |
Pulse Vaccination of a SEIRS Epidemic Model with Time Delay and Nonlinear Incidence Rate |
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| DU Yan-ke,XU Rui.Pulse Vaccination of a SEIRS Epidemic Model with Time Delay and Nonlinear Incidence Rate[J].Journal of Beihua University(Natural Science),2011(3):258-264. |
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| Authors: | DU Yan-ke XU Rui |
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| Institution: | DU Yan-ke,XU Rui(Institute of Applied Mathematics,Mechanical Engineering College,Shijiazhuang 050003,China) |
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| Abstract: | A delayed SEIRS epidemic model with pulse vaccination is investigated.Applying the comparison theorem in impulsive differential equation and the analytical method,the global attractiveness of the infection-free periodic solution is discussed,and sufficient condition is obtained for the permanence of the system.The results indicate that the time delay,nonlinear incidence,pulse vaccination and loss of the immunity may have significant effects on the dynamic behaviors of the model. |
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| Keywords: | pulse vaccination SEIRS epidemic model global attractiveness permanence |
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