期刊文献+

多种群生态时滞系统正周期解的全局吸引性 被引量:1

Global Attractivity of Positive Periodic Solution of Multispecies Ecological Delay System
下载PDF
导出
摘要 利用比较定理结合 Liapunov泛函 ,讨论一类具有多个周期时滞的多种群生态竞争 -捕食系统正周期解的存在性和全局吸引性 .最后 ,利用一致持久性理论 ,讨论捕食 -食饵系统正周期解存在的充要条件 . In this paper, by means of comparison theorem and Liapunov functionals, the authors consider the global attractivity of positive periodic solution of multispecies ecological competition predator system with several periodic delays. Finally, by using persistence theory, the sufficient and necessary conditions of positive periodic solutions are obtained for predator prey delay systems.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2004年第6期641-653,共13页 Acta Mathematica Scientia
基金 国家自然科学基金 (A0 3 2 462 3 1 0 2 71 0 44)资助
关键词 比较定理 竞争-捕食系统 全局吸引性 Comparison-theorem Competition predator system Global attractivity.
  • 相关文献

参考文献5

二级参考文献2

共引文献24

同被引文献17

  • 1万阿英,林晓宁,蒋达清.Volterra积分微分方程周期正解的一个新的存在性理论[J].数学物理学报(A辑),2005,25(3):367-373. 被引量:7
  • 2He X Z.Stability and delays in a predator-prey system.J Math Anal Appl,1996,198:355-370.
  • 3Li Y K,Positive solution of a periodic delay predator-prey system.Proc of Amer Math Soc,1999,127(5):1331-1335.
  • 4Wang W,Chen L.A predator-prey system with stage-structure for predator.Comput Math Appl,1997,33(8):83-91.
  • 5Rosenzweig M L,Mac Arthur R.Graphical representation and stability conditions of predator-prey interactions.Amer Nat,1963,97:209-223.
  • 6Rosenzweig M L.Why the prey curve has a hump.Amer Nat,1969,103:81-87.
  • 7Rosenzweig M L.Paradox of enrichment:destabilization of exploitation system in ecological time.Science,1969,171:385 387.
  • 8Maynard Smith J.Models in Ecology.Cambridge:Cambridge Univ Press,1974.
  • 9Holling C S.The functional response of predators to prey density and its role in mimicry and population regulation.Mem Ent Soc Cannad,1965,45:3-60.
  • 10陈兰荪 井竹君 521-523.捕食者—食饵相互作用微分方程极限环存在性和唯一性[J].科学通报,1984,24(9).

引证文献1

二级引证文献28

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