期刊文献+

具有附加食物的非自治捕食者-食饵系统的持久性与稳定性

Permanence and Stability of A Non-autonomous Predator-prey System with Additional Food
下载PDF
导出
摘要 提供额外食物以提高捕食者的捕食效率是生物防治的一种有效手段。本文研究了一个具有附加食物的非自治Holling-Tanner型捕食者-食饵系统。应用比较原理和李雅普诺夫函数,得到了系统持久性和全局渐近稳定的一些充分条件,讨论了如何适当使用附加食物使害虫灭绝。 The way of additional food to boost the efficacy of predators is an effective means of biological control.In this paper,a non-autonomous Holling-Tanner type predator-prey system with additional food is studied.Through the comparison theorem and appropriate Liapunov function,we obtain some sufficient conditions for the permanence and globally asymptotic stability of system and discuss how to use additional food properly to eliminate pests.
作者 吴罗义 WU Luoyi(School of Mathematics and Computer,Wuyi University,Wuyishan,Fujian 354300)
出处 《武夷学院学报》 2020年第12期43-46,共4页 Journal of Wuyi University
基金 福建省自然科学基金资助项目(2019J01831) 武夷学院校科研资金项目(XL201509)。
关键词 额外食物 比较原理 持久性 全局渐近稳定性 additional food comparison principle permanence globally asymptotic stability
  • 相关文献

二级参考文献39

  • 1文贤章,王志成.多种群生态时滞系统正周期解的全局吸引性[J].数学物理学报(A辑),2004,24(6):641-653. 被引量:1
  • 2万阿英,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
  • 3He X Z.Stability and delays in a predator-prey system.J Math Anal Appl,1996,198:355-370.
  • 4Li Y K,Positive solution of a periodic delay predator-prey system.Proc of Amer Math Soc,1999,127(5):1331-1335.
  • 5Wang W,Chen L.A predator-prey system with stage-structure for predator.Comput Math Appl,1997,33(8):83-91.
  • 6Rosenzweig M L,Mac Arthur R.Graphical representation and stability conditions of predator-prey interactions.Amer Nat,1963,97:209-223.
  • 7Rosenzweig M L.Why the prey curve has a hump.Amer Nat,1969,103:81-87.
  • 8Rosenzweig M L.Paradox of enrichment:destabilization of exploitation system in ecological time.Science,1969,171:385 387.
  • 9Maynard Smith J.Models in Ecology.Cambridge:Cambridge Univ Press,1974.
  • 10Holling 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.

共引文献32

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