期刊文献+

一类脉冲捕食-食饵系统的多个正周期解问题

Existence of Four Positive Periodic Solutions for an Impulsive Predator-prey System
下载PDF
导出
摘要 利用Mawhin延拓定理研究了一类具有Beddington-DeAngelis功能反应及收获项的时滞脉冲捕食-食饵系统,得到系统存在多个正周期解的充分条件,推广了已有结论. In this paper , an impulsive predator -prey system with Beddington -DeAngelis functional re-sponse and harvesting terms was considered using the continuation theorem .The sufficient condition for the exist-ence of four positive periodic solutions was obtain .
出处 《佳木斯大学学报(自然科学版)》 CAS 2014年第1期150-152,155,共4页 Journal of Jiamusi University:Natural Science Edition
基金 安徽省自然科学基金项目(1408085MA02) 安徽省高校自然科学基金重点项目(KJ2012A019) 教育部博士点基金项目(20103401120002) 安徽大学211项目(XJYJXKC04 02303303-33030011 KYXL2012004)
关键词 脉冲捕食-食饵系统 时滞 周期解 Beddington—DeAngelis功能反应 收获项 impulsive predator - prey system delays periodic solutions Beddington - DeAngelis func tional response, harvesting terms
  • 相关文献

参考文献10

  • 1Fengying Wei. Existence of Multiple Positive Periodic Solutions to a Periodic Predator-prey System with Harvesting Terms and Holling III Type Functional Response[J].Commun Nonlinear Sci Numer Simulat,2011.2130-2138.
  • 2Zhengqiu Zhang,Zhenting Hou. Existence of Four Positive Peri-odic Solutions for a Ratio-dependent Predator-prey System with Multiple Exploited (or Harvesting) Terms[J].Nonlinear Anal:RWA,2010.1560-1571.
  • 3Daowei Hu,Zhengqiu Zhang. Four Positive Periodic Solutions to a Lotka-Volterra Cooperative System with Harvesting Terms[J].Nonlinear Anal:RWA,2010.1115-1121.
  • 4Yonghong Fan,Linlin Wang. Multiplicity of Periodic Solutions for a Delayed Ratio-dependent Predator-prey Model with Holling Type III Functional Response and Harvesting Terms[J].{H}Journal of Mathematical Analysis and Applications,2010.524-540.
  • 5V.Lakshmikantham,D.D.Bainov,P.S.Simeonov. Theory of Impulsive Differential Equations[M].Singapore,World Scien-tifific,1989.
  • 6J.R.Beddington. Mutual Interference between Parasites or Pred-ators and Its Effect on Searching Efficiency[J].{H}Journal of Animal Ecology,1975.331-340.
  • 7D.L.DeAngelis,R.A.Goldstein,R.V.O’ Neill. A Modelfor Trophic Interaction[J].{H}ECOLOGY,1975.881-892.
  • 8Jurang Yan,Aimin Zhao. Oscillation and Stability of Linear Im-pulsive Delay Differential Equations[J].{H}Journal of Mathematical Analysis and Applications,1998.187-194.
  • 9R.E.Gaines,J.L.Mawhin. Coincidence Degree and Nonlin-ear Differential Equations[A].{H}Berlin:Springer-Verlag,1977.
  • 10Kaihong Zhao,Yongkun Li. Multiple Positive Periodic Solutions to a Non-autonomous Lotka-Volterra Predator-prey System with Harvesting Terms[J].Electron J Differ Equ,2011,(49):11.

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