| 具有双时滞的SIRS疾病模型的局部稳定性和持久性 |
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| 引用本文： | 张道祥,熊书琴.具有双时滞的SIRS疾病模型的局部稳定性和持久性[J].安徽工程科技学院学报,2014(3):87-92. |
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| 作者姓名： | 张道祥 熊书琴 |
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| 作者单位： | 安徽师范大学 数学与计算机科学学院,安徽 芜湖,241000 |
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| 基金项目： | 国家自然科学基金资助项目，数学天元青年基金资助项目，安徽省高校优秀青年人才基金资助项目 |
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| 摘 要： | 本文提出了一个双时滞SIRS模型.通过分析相应的特征方程并利用Hurwitz矩阵相关定理,讨论了无病平衡点和地方平衡点的局部稳定性.当基本再生数满足R0〉1时,证明了系统的持久性.所得结果改进和扩展了文献中的相应结果.
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| 关 键 词： | SIRS疾病模型 局部稳定性 持久性 双时滞 |
Local stability and permanence of a SIRS epidemic model with double time delays |
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| ZHANG Dao-xiang,XIONG Shu-qin.Local stability and permanence of a SIRS epidemic model with double time delays[J].Journal of Anhui University of Technology and Science,2014(3):87-92. |
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| Authors: | ZHANG Dao-xiang XIONG Shu-qin |
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| Institution: | (Coll. of Math. ＆ Comp. Sci.,Anhui Normal University, Wuhu 241000, China) |
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| Abstract: | A SIRS epidemic model with double time delays is proposed. By analyzing the corresponding characteristic equations and using the Hurwitz theorem,the local stability of an endemic equilibrium and a disease free equilibrium are discussed.It is proved that if the basic reproductive number R0〉 1, the system is permanent. The results of references are improved andextended. |
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| Keywords: | SIRS epidemic model local stability permanence double time delays |
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