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一类具有非线性传染力的阶段结构SI模型 被引量：7

Analysis of Stability for a SI Epidemic Model with Nonlinear Infection Incidence and Stage-structure
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摘要 讨论了一类具有非线性传染力的阶段结构 SI传染病模型 ,确定了各类平衡点存在的阈值条件 ,得到了各类平衡点局部稳定和全局稳定的条件 . A SI epidemic model with nonlinear infection incidence and stage-structure is studied in this paper,the conditions and threshold to the existence of various equilibria are established. It is obtained that the conditions about the locally asymptotic stability and the globally asymptotic stability of equilibria.
作者 郑丽丽 王豪 方勤华
机构地区 信阳师范学院数学与信息科学学院 信阳教育学院
出处 《数学的实践与认识》 CSCD 北大核心 2004年第8期128-135,共8页 Mathematics in Practice and Theory
关键词 阶段结构 传染病模型 平衡点 全局稳定 非线性 阈值条件 局部稳定 传染力 nonlinear infection incidence stage-structure epidemic threshold global stability permanence
分类号 R311 [医药卫生—基础医学]
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参考文献12

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同被引文献33

  • 1李建全,王峰,马知恩.一类带有隔离的传染病模型的全局分析[J].工程数学学报,2005,22(1):20-24. 被引量：25
  • 2肖氏武,王稳地,金瑜.一类具阶段结构的捕食者-食饵模型的渐进性质(英文)[J].生物数学学报,2007,22(1):37-45. 被引量：9
  • 3Kuang Y. Delay Differential Equations with Applications in Population Dynamics[M]. New York: Academic Press, 1993.
  • 4Aiello W G, H I Freedman.A time-delay model of single-species growth with stage structure[J]. Mathematical Biosciences, 1990, 101(2):139-153.
  • 5Gopalsamy K. Stability and Oscillations in Delay Differential Equations of Population Dynamics[M]. Dordrecht: Kluwer Academic Publishers, 1992.
  • 6Song Xinyu, Chen Lansun. Optimal harvesting and stability for two species competitivte system with stage-structure[J]. Mathematical Biosciences, 2001, 170(2):173-186.
  • 7Aiello W G and H I Freedman. A time-delay model of single-species growth with stage structure[J]. Math Biosci, 1990, 101: 139-153.
  • 8Kuang Y. Delay Differential Equations with Applications in Population Dynamics[M]. Academic Press, San Diego, CA, 1993.
  • 9Gopalsamy K. Stability and Oscillations in Delay Differential Equations of Population Dynamics[M]. Dordrecht: Kluwer Academic Publishers, 1992.
  • 10Song Xinyu, Chen Lansun. Optimal harvesting and stability for two species competitivte system with stage-structure[J]. Math Biol, 2001, 170(2): 173-186.

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数学的实践与认识
2004年 第8期

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