期刊文献+

具有Hassell-Varley型功能性反应的捕食者-食饵系统周期解的存在性 被引量:16

Existence of periodic soluton of a predator-prey system with Hassell-Varley functional response
下载PDF
导出
摘要 利用重合度理论中的延拓定理,讨论了一类时标动力学方程所刻画的具有Hassell-Varley型功能性反应的捕食者-食饵系统周期解的存在性,得到了该系统存在周期解的充分条件. With the help of a continuation theorem in coincidence degree theory,some sufficient criteria are established for the existence of positive periodic solution to a periodic predator-prey system with Hassell-Varley type functional response governed by a dynamic equation on general time scales.
作者 温绍雄 范猛
出处 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2011年第1期10-15,共6页 Journal of Northeast Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(NSFC10971022) 教育部"新世纪优秀人才支持计划"资助项目(NCET-08-0755)
关键词 时标 捕食者-食饵系统 Hassell-Varley型功能性反应 重合度 周期解 time scales predator-prey system Hassell-Varley functional response coincidence degree periodic solution
  • 相关文献

参考文献11

  • 1范猛,王克.一类具有Holling Ⅱ型功能性反应的捕食者-食饵系统全局周期解的存在性[J].数学物理学报(A辑),2001,21(4):492-497. 被引量:58
  • 2李艳红,赵明.非自治一食饵-两竞争捕食者模型的动力学行为[J].东北师大学报(自然科学版),2009,41(1):23-26. 被引量:3
  • 3HSU S B, HWANG T W,KUANG Y. Global dynamics of a predator-prey model with Hassell-Varley type functional response [J]. Discrete and Continuous Dynamical Systems,2008,10(4):857-871.
  • 4PATHAK S,MAITI A,SAMANTA G P. Rich dynamics of a food chain model with Hassell-Varley type functional responses [J]. Applied Mathematics and Computation, 2009,208 : 303-317.
  • 5COSNER C, DEANGELIS D L, AULT J S,et al. Effects of spatial grouping on the functional response of predators[J]. Theor Pop Biol, 1999,56:65-75.
  • 6FAN M, WANG Q, ZOU XINGFU. Dynamics of a nonautonomous ratio-dependent predator prey system[J]. Proceeding of Royal Society of Edinburgh A, 2003,133 : 97-118.
  • 7DIXON S R,ANTHONY F G. Population dynamics of tree dwelling aphids:the importance of seasonality and time scale[J]. Ecology, 1997,78(8) : 2603-2610.
  • 8BOHNER M,PERERSON A. Dynamic equations on time scales: an introduction with applications[M]. Boston: Birkhauser, 2001 : 1-49.
  • 9BOHNER M,FAN M,ZHANG JIMIN. Existence of periodic solutions in predator-prey and competition dynamic systems[J]. Nonlinear Analysis : Real World Applications, 2006,7: 1193-1204.
  • 10GAINES R E, MAWHIN J L. Coincidence degree and nonlinear differential equations[M]. Berlin: Springer-Verlag, 1977: 120-124.

二级参考文献13

共引文献58

同被引文献132

引证文献16

二级引证文献36

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