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泛函捕食者——食饵系统正周期解的全局存在性

Global Existence of Positive Periodic Solution of Periodic Predator — prey System with Functional Response
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摘要 基于Gains and Mawhin的重合度延拓定理和泛函反应知识,证明了在一个周期环境中带有泛函反应的捕食者--食饵系统正周期解的全局存在性.该系统是具有2个捕食者x2,x3和2个食饵x1,x2的一条食物链.通过使用延拓定理和泛函知识,得到了一个关于该非自治系统的很好的结论. With the help of a continue theorem based on Gains and Mawhins' coincidence degree and the knowledge of the Functional response, easily verifiable criteria are established for the global existence of positive periodic solution of a predator-prey system with functional response in a periodic environment. The system is a biological food chain which has two predators x_2,x_3 and two preys x_1,x_2. In the paper, the authors use the Gains and Mawhins' coincidence degree, and get a very good conclusion.
出处 《装备指挥技术学院学报》 2004年第5期107-110,共4页 Journal of the Academy of Equipment Command & Technology
关键词 泛函 全局存在性 延拓定理 正周期解 捕食者 非自治系统 重合度 证明 结论 知识 periodic solution predator — prey system functional response coincidence degree
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参考文献2

  • 1Hai nzl J.Stabilit y and hopf bifurcati on i n a predator-prey s yste m wit h several para meters[].SIAM Journal on Applied Mathematics.1998
  • 2Beretta E,Kuang Y.Conver gence results i n a well kno w delayed predator-prey s yste m[].Journal of Mathematical Analysis and Applications.1996

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