| 一类具有阶段结构和脉冲免疫的SIR传染病模型 |
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| 引用本文： | 张小兵,霍海峰. 一类具有阶段结构和脉冲免疫的SIR传染病模型[J]. 兰州理工大学学报, 2010, 36(1) |
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| 作者姓名： | 张小兵 霍海峰 |
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| 作者单位： | 兰州理工大学,理学院,甘肃,兰州,730050 |
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| 基金项目： | 甘肃省自然科学基金(3ZS042-B25-013);;教育部留学回国人员科研启动基金;;甘肃省高校研究生导师基金(0803-01);;兰州理工大学优秀青年教师培养计划(Q200703);;博士启动基金的资助 |
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| 摘 要： | 研究一类具有阶段结构和脉冲免疫的SIR模型,利用比较原理得到此模型无病周期解全局吸引和系统持久的充分条件,并利用数值模拟验证结论.
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| 关 键 词： | 脉冲免疫 阶段结构 周期解 持久 |
A class of SIR epidemic model with stage structure and pulse vaccination |
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| ZHANG Xiao-bing,HUO Hai-feng. A class of SIR epidemic model with stage structure and pulse vaccination[J]. Journal of Lanzhou University of Technology, 2010, 36(1) |
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| Authors: | ZHANG Xiao-bing HUO Hai-feng |
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| Affiliation: | School of Science;Lanzhou Univ.of Tech.;Lanzhou 730050;China |
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| Abstract: | A class of SIR model with stage structure and pulse vaccination was investigated.By using comparison principle,the sufficient conditions of this model with global attractivity of infection-free periodic solution and system permanence were obtained.Numerical simulation was conducted to verify the result obtained. |
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| Keywords: | pulse vaccination stage structure periodic solution permanence |
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