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一类具有时滞和非单调感染率传染病模型的局部性质 被引量:2

Local Stabilities of a Delayed Epidemic Model with Non-monotonic Incidence Rate
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摘要 研究一类非单调感染率的时滞传染病模型.通过讨论相应的特征方程,得到了无病平衡点和地方病平衡点的局部稳定性. A delayed epidemic model with non-monotonic incidence rate is investigated. By discussing the corresponding characteristic equations,the local stabilities of a disease-free equilibrium and the endemic equilibrium are established.
作者 王霞 郭振
出处 《信阳师范学院学报(自然科学版)》 CAS 2010年第4期481-484,共4页 Journal of Xinyang Normal University(Natural Science Edition)
基金 国家自然科学基金项目(10771179) 河南省重点科技攻关项目(092100210070) 河南省教育厅自然科学基金项目(2010B110021 2009A110014) 信阳师范学院青年骨干教师资助
关键词 时滞 病毒模型 非单调感染率 局部稳定性 time delay epidemic model non-monotonic incidence local stability
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参考文献9

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二级参考文献1

  • 1Boris Shulgin,Lewi Stone,Zvia Agur. Pulse vaccination strategy in the SIR epidemic model[J] 1998,Bulletin of Mathematical Biology(6):1123~1148

共引文献3

同被引文献8

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  • 7王霞,陶有德,宋新宇.一类带有肝炎B病毒感染的数学模型的全局稳定性分析(英文)[J].生物数学学报,2009,24(1):1-8. 被引量:14
  • 8王霞,江晓武.一类具有非线性脉冲接种的时滞SIR模型分析(英文)[J].信阳师范学院学报(自然科学版),2009,22(3):325-328. 被引量:4

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