| 一类具有脉冲预防接种的SEIRS传染病模型的研究 |
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| 引用本文： | 芦雪娟,董晓红,张敬.一类具有脉冲预防接种的SEIRS传染病模型的研究[J].数学的实践与认识,2011,41(14). |
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| 作者姓名： | 芦雪娟 董晓红 张敬 |
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| 作者单位： | 1. 齐齐哈尔大学理学院,黑龙江齐齐哈尔,161006
2. 哈尔滨商业大学金融学院,黑龙江哈尔滨,150028 |
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| 基金项目： | 黑龙江省教育厅科学技术研究项目(11531426) |
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| 摘 要： | 研究了一类具有脉冲预防接种的SEIRS传染病模型,利用对模型等价系统的分析,得到了模型无病周期解具有全局吸引性的存在条件,并且给出了疾病的持久性的存在条件.
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| 关 键 词： | 传染病模型 脉冲 时滞 |
A Study of SEIRS Epidemic Model with Pulse Vaccination Strategy |
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| LU Xue-juan,DONG Xiao-hong,ZHANG Jing.A Study of SEIRS Epidemic Model with Pulse Vaccination Strategy[J].Mathematics in Practice and Theory,2011,41(14). |
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| Authors: | LU Xue-juan DONG Xiao-hong ZHANG Jing |
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| Institution: | LU Xue-juan~1,DONG Xiao-hong~2,ZHANG Jing~1 (1.College of Science,Qiqihaer University,Qiqihaer 161006,China) (2.Financial Institute,Harbin Commerical University,Harbin 150028,China) |
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| Abstract: | In this paper,a disease transmission model of SEIRS type with pulse vaccination strategy is studied.We obtain the existence conditions with the global attractive of infectionfree periodic solution by the analysis of the equivalent system of the model,and give the existence of the persistent of the disease. |
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| Keywords: | epidemic model pulse delay |
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