| 一类具常数输入和脉冲接种的时滞传染病模型 |
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| 引用本文： | 刘少英,曹欣杰,裴永珍.一类具常数输入和脉冲接种的时滞传染病模型[J].商丘师范学院学报,2011,27(3):29-33. |
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| 作者姓名： | 刘少英 曹欣杰 裴永珍 |
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| 作者单位： | 1. 平顶山学院数学与信息科学学院,河南平顶山,467000
2. 天津工业大学理学院,天津,300100 |
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| 摘 要： | 研究了一类具有常数输入和脉冲免疫接种的时滞SIR传染病模型,应用脉冲微分方程的比较定理,得到了无病周期解全局吸引性和系统一致持久的条件.
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| 关 键 词： | 脉冲 周期解 时滞 全局吸引 一致持久 |
A delay SIR epidemic model with vaccination and constant input |
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| LIU Shaoying,CAO Xinjie,PEI Yongzhen.A delay SIR epidemic model with vaccination and constant input[J].Journal of Shangqiu Teachers College,2011,27(3):29-33. |
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| Authors: | LIU Shaoying CAO Xinjie PEI Yongzhen |
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| Institution: | 1.School of Mathematics and Information Science,Pingdingshan College,Pingdingshan 467000,China;2.School of Science.Tianjin Polytechnic University,Tianjin 300160,China) |
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| Abstract: | This paper investigates a delay SIR periodic model with vaccination and constant input.By using the comparison theorem in impulsive differential equation,we obtain some sufficient conditions for global attractivity of the infection-free periodic solution and for uniformly persistent of the disease. |
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| Keywords: | impulsive periodic solution delay globally attractive permanence |
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