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具有单调泛函响应的离散比率时滞捕食-被捕食模型正周期解的存在性 被引量:1

Existence of Positive Periodic Solution for a Delayed Discrete Ratio-dependent Predator-prey Model with Monotonic Functional Responses
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摘要 利用叠合度定理,得到一类具有单调泛函响应的时滞比率依赖的离散捕食-被捕食模型正周期解存在的一个充分条件. By using coincidence degree theorem,we obtain a sufficient condition for the existence of positive periodic solutions of a delayed discrete ratio-dependent predator-prey model with monotonic functional responses.
出处 《广西科学》 CAS 2012年第1期46-49,共4页 Guangxi Sciences
基金 湖南科技大学研究生创新基金项目(S110123)资助
关键词 捕食-被捕食模型 正周期解 比率依赖 单调泛函响应 predator-prey model positive periodic solutions ratio-dependent monotonic functional responses
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参考文献7

  • 1Fan F H,Li W T.Permanence in delayed ratio-depend-ent predator-prey models with monotonic fanctional re-sponses[J].Nonlinear Anal B,2007,8:424-434.
  • 2Fan F H,Li W T,Wang L L.Periodic solutions in de-layed ratio-dependent predator-prey models with mono-tonic functional responses[J].Nonlinear Anal B,2004,5:247-263.
  • 3Fan M,Wang K.Periodicity in delayed ratio-dependentpredator-prey system[J].J Math Anal A,2001,262:170-190.
  • 4Kwang Y,Beretta E.Global quasitative analysis of a ra-tio-dependent predator-prey system[J].J Math Boil,1998,36:19-32.
  • 5Yang W,Li X.Permanence for a delayed discrete ratio-dependent predator-prey model with monotonic func-tional responses[J].Nonlinear Anal B,2009,10:1068-1072.
  • 6Caines R E,Mawhin J L.Coincidence degree and nonlin-ear differential equations[M].Berlin:Springer-Verlag,1997.
  • 7Fan M,Wang K.Periodic solutions of a discrete;timenonautonomous ratio-dependent predator-preg system[J].Math Comput Modeling,2002,35:951-961.

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