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一类阶段结构捕食系统的永久持续生存

Permanence of a Predator-prey Model with Stage Structure
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摘要 提出一类捕食者和被捕食者均具有阶段结构的Holling III类功能性反应的捕食系统,应用微分方程比较原理,得到了保证系统永久持续生存的充分性条件。 A predator-prey model with Holling Ⅲ type functional response and stage structure for both prey and predator is investigated. Sufficient conditions are derived for the permanence of the model by using the comparison theorem.
作者 翁少群
机构地区 福州大学数学与计算机科学学院
出处 《莆田学院学报》 2008年第2期14-17,共4页 Journal of putian University
基金 福建省青年创新基金资助项目(2004J0002)
关键词 阶段结构 HollmgⅢ类功能性反应 永久持续生存 stage structure Holling Ill type functional response permanence
分类号 O175.14 [理学—基础数学]
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参考文献7

  • 1Xu Rui,M A J Chaplain,F A Davidson.Permanenceand periodicity of a delayed ratio-dependentpredator-prey model with stage structure[].Journal of Mathematical Analysis and Applications.2005
  • 2Song Xinyu,Chen Lansun.Optimal harvesting andstability for a two-species competitive system withstage structure[].Mathematical Biosciences.2001
  • 3Walter G Aiello,H I Freedman.A time delay model ofsingle-species growth with stage structure[].Mathematical Biosciences.1990
  • 4Chen Fengde.Permanence of periodic Holling typepredator-prey system with stage structure for prey[].Applied Mathematics and Computation.2006
  • 5Chen Fengde.Almost periodic solution of thenon-autonomous two-species competitive model withstage structure[].Applied Mathematics and Computation.2006
  • 6Lin-Lin Wang,Wan-Tong Li.Periodic solutions and permanence for a delayed non-autonomous ratio-dependent predator-prey model with Holling type functional response[].Computational and Applied Mathematics.2004
  • 7LIU Sheng-qiang,,CHEN Lan-sun,LIU Zhuo-jun.Extinction and Permanence in Nonautonomous Competitive Systemwith Stage Structure[].Journal of Mathematical Analysis and Applications.2002
莆田学院学报
2008年 第2期

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