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一类基于比率依赖的Leslie食饵-捕食者模型的定性分析 被引量：2

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摘要 研究一类基于比率依赖的Leslie捕食者-食饵系统.利用微分方程定性理论,得到了该系统正平衡点全局渐进稳定的充分条件及系统极限环存在的充分条件.
作者 梁志清
机构地区 玉林师范学院数学与计算机科学系
出处 《长沙大学学报》 2007年第2期1-3,共3页 Journal of Changsha University
关键词 正平衡点 全局渐进稳定 Holling-TanneⅢ类功能性反应 极限环
分类号 O175 [理学—基础数学]
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参考文献10

二级参考文献19

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共引文献158

同被引文献9

  • 1高建国.具有HollingⅢ类功能性反应的基于比率的离散Leslie捕食者-食饵模型正周期解的存在性[J].西北民族大学学报（自然科学版）,2005,26(2):10-15. 被引量：4
  • 2Xiao D M,Jennings L.Bifurcations of a ratio-dependent predator-prey system with constant rate harvesting. SIAMJour-nal on Applied Mathematics . 2005
  • 3Sze-Bi Hsu,Tzy-Wei Hwang.Hopf bifurcation analysis for a predator-prey system of Holling and Leslie type. Taiwan Residents Journal of mathematics . 1999
  • 4Hsu S B,Huang T W.Global stability for a class of predator-prey systems. SIAM Journal on Applied Mathematics . 1995
  • 5Xu Rui,Chen Lansun.Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment. Computers and Mathematics With Applications . 2000
  • 6DONGMEI XIAO,WENXIA LI,MAOAN HAN.Dynamics in a ratio-dependent predator-prey modelwith predator harvesting. Journal of Mathematical Analysis and Applications . 2006
  • 7L Perko.Differential equations and dynamical systems. . 2001
  • 8Fan Yong hong.Li Wangtong.Permanence for a delayed discrete ratio-dependent predator-prey system with Holling type functional response[J].Mathematical Analysis and Application,2004,299:357-374.
  • 9荆海英.n阶食物链反馈控制系统的稳定性与永久持续生存[J].生物数学学报,2002,17(1):12-20. 被引量：6

引证文献2

二级引证文献3

长沙大学学报
2007年 第2期

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