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一类具有潜伏期的SEIR手足口病模型的研究 被引量:3

Research for a class of latency HFMD SEIR model
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摘要 为了挖掘手足口病的主要传播因素,本文研究了一类具有潜伏期且带有出生死亡的SEIR手足口病模型.该模型包括易感者,潜伏者(感染手足口病毒但没有表现出症状),患病者和恢复者并且考虑了恢复者会再次感染疾病.文中得到了手足口病的基本再生数并对模型进行了动力学分析:平衡点的存在性和稳定性. In order to dig the main transmission of HFMD factors,we study a class of SEIR model of hand foot and mouth disease with an incubation period of birth and death. The model includes susceptible,latent( infected with hand foot and mouth virus but not showing symptoms),and the sick and restorers who will be infected with the disease again. The paper gets the basic reproduction number of hand foot and mouth disease and studys dynamic analysis of the model: the existence and stability of equilibrium point.
作者 王晓红
机构地区 吕梁学院数学系
出处 《吕梁学院学报》 2015年第3期9-11,21,共4页 Journal of Lyuiang University
关键词 手足口病 SEIR 全局稳定性 李雅普诺夫 Hand foot and mouth disease SEIR Global stability Lyapunov
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参考文献5

  • 1Junli Liu. Threshold dynamics for a HFMD epidemic model with periodic transmission rate [J]. Nonlinear Dynamics, 2010(64).
  • 2M. Urashima, N. Shindo and N. Okabe, Seasonal models of herpangina and hand - foot - mouth disease to simulate an- num fluctuations in urban warming in Tokyo [J]. Jpn. J. In- feet. Dis,2003(56).
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二级参考文献7

  • 1李学志,代丽霞.总人口规模变化的年龄结构SEIR流行病模型的稳定性[J].系统科学与数学,2006,26(3):283-300. 被引量:7
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