期刊文献+

一类捕食者-食饵离散系统多个周期解的存在性 被引量:1

Multiple Periodic Solution of a Discrete Generalized Predator-prey System
下载PDF
导出
摘要 运用重合度理论的方法,得到一个具有时滞的捕食者-食饵一般离散系统多个周期解存在所需满足的必要条件,从而有利于更好地研究生物种群的持续生存. Using coincidence degree theory, sufficient conditions are obtained that ensure the existence of multiple positive periodic solutions for a discrete general predator-prey system. It is helpful to the study of sustainable existence of species.
作者 王莉 金磊
出处 《厦门理工学院学报》 2007年第4期55-60,共6页 Journal of Xiamen University of Technology
基金 福建省科技计划F5类项目(2007F504010024)
关键词 捕食者-食饵一般离散系统 重合度理论 拓扑度理论 generalized predator-prey system coincidence degree theory theory of topological degree
  • 相关文献

参考文献8

  • 1[1]FAN M,KUANG Y.Periodic sohtion of a discrete time nonautonoaons ratio-dependent predator-prey system[J].Mathematical and Computer Modeling,2002,35(9-10):951-961.
  • 2[2]CRONE E E.Delayed density dependence and the stability of interacting populations and subpopulations[J].Theoretic Population Bid,1997,51:67-76.
  • 3[3]FAN M,WANG K.Periodic solution of a discrete time no autonomous ration-dependent predator-prey system[J].Math Computer Model,2002,35:951-961.
  • 4[4]LIU Zhigang,CHEN Anping,CAO Jinde.Multiple periodic solution of discreet time predator-prey systems with type IV functional responses[J].Electronic Journal of Difference Equations,2004,02:1-11.
  • 5[5]AGRAWAL R P.Difference equations and Inequalities[M].New York:Marcel Decker,2000.
  • 6[6]MIRRAY J D.Mathematical Biology[M].New York:Sprlnger-verlag,1989.
  • 7[7]LU Z,WANG W.Permanence and gable attractions for Lotky-volterra difference systems[J].J Math Biol,1999,22:269-282.
  • 8[8]SAITO Y,HAEA Y,MA W B.Harmless delays forpermanence and imperaistence of a Lorka-voherra discrete predator-prey system[J].Nonlinear Anal,2002,50:703-715.

同被引文献5

  • 1FAN M.Global existence of positive periodic solutions of predator-prey system[J].J Math Anal Appl,2002,262:179-184.
  • 2LIU Z G,CHEN A P,CAO J D.Multiple periodic solution of discreet time predator-prey system with type IV functional responses[J].Electronic Journal of Difference Equations,2004,2:1-11.
  • 3SHI R Q,CHEN L S.The study of a ratio-dependent predator-prey model with stage structure in the prey[J].Nonlinear Dynamics,58:443-451.
  • 4ZHANG Z Q,WU J,WANG Z C.Periodic solutions of noautonomous stage-structured cooperative system[J].Computers Math Applic,2004,47:699-706.
  • 5GAINES P E,MAWHIN J L.Coincidence degree and non linear differential equations[M].Berlin:Springer,1977.

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部