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一类具有非单调发生率SIS流行病模型的分析(英文) 被引量:1

Analysis of an SIS Epidemic Model with Nonmonotone Incidence Rate
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摘要 该文讨论了具有非单调发生率SIS流行病模型,分别建立了带有分布时滞和离散时滞形式的感染个体的恢复时滞模型,同时分析了系统平衡态的稳定性. In this paper, an SIS endemic model with nonmonotone incidence rate are investigated. To model the recovery time of infected populations, a recovery delay, both in distributed and discrete form is introduced. The dynamical behavior of the models is investigated from the point of stability.
出处 《生物数学学报》 CSCD 北大核心 2009年第2期193-200,共8页 Journal of Biomathematics
基金 National Natural Science Foundation of China(10671166) Education Department of Henan Province(2008A110015)
关键词 非单调发生率 时滞 全局稳定性 Nonmonotone incidence rate Delay Global stability
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参考文献3

  • 1H. W. Hethcote,M. A. Lewis,P. Driessche. An epidemiological model with a delay and a nonlinear incidence rate[J] 1989,Journal of Mathematical Biology(1):49~64
  • 2Wei-min Liu,Herbert W. Hethcote,Simon A. Levin. Dynamical behavior of epidemiological models with nonlinear incidence rates[J] 1987,Journal of Mathematical Biology(4):359~380
  • 3Wei-min Liu,Simon A. Levin,Yoh Iwasa. Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models[J] 1986,Journal of Mathematical Biology(2):187~204

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