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具变时滞Lotka-Volterra系统的全局渐近稳定性 被引量：7

Global asymptotic stability of Lotka-Volterra system with variable time delays
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摘要 利用Lyapunov函数方法研究了具变时滞Lotka Volterra系统的渐近稳定性,得到一些新结果,推广并改进了已有的一些相关结果. The Lyapunov function is used to derive a set of easily verifiable sufficient conditions for the global asymptotic stability of the Lotka-Volterra system with variable time delays. Some new results are obtained, some related known results are improved and generalized.
作者 盖平 黄庆道 付苗苗
机构地区 白城师范学院数学系 吉林大学数学学院应用数学系 长春师范学院数学系
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2004年第3期367-370,共4页 Journal of Jilin University:Science Edition
关键词 全局渐近稳定性 LOTKA-VOLTERRA系统 变化率 global asymptotic stability Lotka-Volterra system variation rate
分类号 O175.1 [理学—基础数学]
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参考文献10

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同被引文献47

  • 1盖平,刘停战,鲍智娟.一类Volterra方程极限环的存在性和稳定性[J].吉林大学学报（理学版）,2004,42(3):375-376. 被引量：2
  • 2高海音,张晓颖,翁世有,王克.具有HollingⅢ类功能反应捕食者食脉冲系统正周期解的存在性[J].吉林大学学报（理学版）,2006,44(2):150-156. 被引量：8
  • 3刘南根.具Holling Ⅰ型功能反应的食饵－捕食系统的极限环[J].数学年刊：A辑,1988,9(4):221-227.
  • 4Mao X, Marion G, Renshaw E. Environmental Brownian noise suppresses explosions in population dynamics [ J ]. Stochastic Processes and Applications ,2002,97:95 - 110.
  • 5Arnld L. Stochastic Differential Equations: Theory and Application [ M ]. New York : Wiley, 1972.
  • 6Gopalsamy K,Kulenovic M R S,Ladas G.Environmental Periodicity and Time Delays in a "Food-Limited" Population Model[J].J Math Anal Appl,1990,147(2):545-555.
  • 7MAO Xue-rong,Marion G,Renshaw E.Environmental Brownian Noise Suppresses Explosions in Population Dynamics[J].Stochastic Processes and Applications,2002,97(1):95-110.
  • 8JIANG Da-qing,SHI Ning-zhong,ZHAO Ya-nan.Existence,Uniqueness,and Global Stability of Positive Solutions to the Food-Limited Population Model with Random Perturbation[J].Mathematical and Computer Modelling,2005,42 (5/6):651-658.
  • 9JI Chun-yan,JIANG Da-qing,SHI Ning-zhong.Analysis of a Predator-Prey Model with Modified Leslie-Cower and Holling-Type Ⅱ Schemes with Stochastic Perturbation[J].J Math Anal Appl,2009,359(2):482-498.
  • 10MAO Xue-rong.Stochastic Versions of the Lassalle Theorem[J].J Differential Equations,1999,153(1):175-195.

引证文献7

二级引证文献15

吉林大学学报（理学版）
2004年 第3期

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