| 一类具有时滞的SIRS传染病模型的研究 |
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| 引用本文： | 张敬,谢守波,高文杰.一类具有时滞的SIRS传染病模型的研究[J].东北师大学报(自然科学版),2011,43(2):10-15. |
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| 作者姓名： | 张敬 谢守波 高文杰 |
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| 作者单位： | 齐齐哈尔大学理学院;吉林大学数学研究所; |
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| 基金项目： | 国家自然科学基金资助项目(10771085); 黑龙江省教育厅科学研究项目(11531426) |
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| 摘 要： | 研究了一类具有时滞的SIRS传染病模型,利用对模型的分析,得到了疾病灭绝与否的基本再生数,给出了无病平衡点的全局吸引性及地方病平衡点稳定性的存在条件,证明了疾病的持久性.
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| 关 键 词： | 传染病模型 基本再生数 时滞 稳定性 |
A study of SIRS epidemic model with two delays |
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| ZHANG Jing,XIE Shou-bo,GAO Wen-jie.A study of SIRS epidemic model with two delays[J].Journal of Northeast Normal University (Natural Science Edition),2011,43(2):10-15. |
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| Authors: | ZHANG Jing XIE Shou-bo GAO Wen-jie |
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| Institution: | ZHANG Jing1,XIE Shou-bo1,GAO Wen-jie2(1.College of Science,Qiqihar University,Qiqihar 161006,China,2.Institute of Mathematics,Jilin University,Changchun 130012,China) |
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| Abstract: | In this paper,a disease transmission model of SIRS type with two delays is studied.A basic reproductive number which determines the outcome of the infectious disease is found by analysis of the subsystem of the model,the existence conditions with the global attractive of the disease free equilibrium and the stability of the endemic equilibrium is given,and the persistent of the disease is proved. |
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| Keywords: | epidemic model threshold two delays stability |
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