期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

模糊随机时滞Lotka-Volterra模型的持久性和渐近性 被引量：1

Permanence and Asymptotic Properties of Fuzzy Stochastic Delay Lotka-Volterra System
原文传递
导出
摘要 给出模糊随机时滞Lotka-Volterra模型,通过Ito公式,在一定条件下研究模型(1.2)的随机持久性,利用指数鞅不等式进一步给出了解的渐近估计.最后,通过两个数值算例对主要结果进行验证. In this paper, a class of fuzzy stochastic delay Lotka-Volterra system is investigated. By using Ito formula, we obtain that the fuzzy stochastic delay Lotka-Volterra system is stochastically permanent and given to the asymptotic pathwise estimation. Two examples are given to illustrate the effectiveness of the obtained results.
作者 麻硕 张启敏 杨洪福
机构地区 宁夏大学数学与计算机学院 北方民族大学数学与计算科学学院
出处 《数学的实践与认识》 CSCD 北大核心 2014年第18期250-260,共11页 Mathematics in Practice and Theory
基金 国家自然科学基金(11261043)
关键词 模糊随机时滞Lotka-Volterra模型 BROWN运动 随机持久 ITO公式 fuzzy stochastic delay Lotka-Volterra Brownian motion stochastically permanent Ito formula
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献14

  • 1Mao X R,Sotirios Sabanis,Eric Renshaw,Asymptotic behaviour of the stochastic Lotka-Volterra model[J],J Math Anal Appl,2003,287:141-156.
  • 2Li X Y.Jiang D Q,Mao X R.Population dynamical behavior of Lotka-Volterra system under regime switching[J].Journal of Computational and Applied Mathematics,2009,232:427-448.
  • 3Bao J H,Mao X R,Yin G,Yuan C G.Competitive Lotka-Volterra population dynamics with jumps[J].Nonlinear Analysis,2011.74:6601-6616.
  • 4Lv J L,Wang K,Zou X L,Remarks on stochastic permanence of population models[J].J Math Anal Appl.2013,408:561-571.
  • 5Jiang D Q,Ji C Y,Li X Y,O'Regan D.Analysis of autonomous Lotka-Volterra competition—systems with-random perturbation[J]J Math Anal Appl,2012,390:582-595.
  • 6Liu M,Wang K.Asymptotic properties and Simulations of a Stochastic logistic model under regime switching[J].Mathematical and computer Modelling,2011,54:2139-2154.
  • 7Jiang D Q,Shi N Z,Li X Y.Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation[J].J Math Anal Appl,2008,340:588-597.
  • 8Yang T,Yang L B,Wu C W,Chua L O.Fuzzy cellular neural networks:theory[C]//Proceedings of the IEEE International Workshop on Cellular Neural Networks and Applications 1996,pp.181-186.
  • 9Gan Q T,Xu R,Yang P H.Exponential synchronization of stochastic fuzzy cellular neural networks with time delay in the leakage term and reaction-diffusion[J].Commun Nonlinear Sci Numer Simulat,2012,17:1862-1870.
  • 10Syed Ali M,Balasubramaniam P.Global asymptotic stability of stochastic fuzzy cellular neural networks with multiple discrete and distributed time-varying delays[J].Commun Nonlinear Sci Numer Simulat,2011,16:2907-2916.

同被引文献12

  • 1Hsu S B,et al.Analysis of three species Lotka-Volterra food web models with omnivory[J].J Math Anal Appl,2015,426:659-687.
  • 2Krikorian N.The Volterra model for three species predator-prey systems:boundedness and stability[J].J Math Biol.1979,7:117-132.
  • 3Namba T.Omnivory and stability of food webs[J].Ecol Complex,2008,5:73-85.
  • 4Liu M,et al.Asymptotic properties and simulations of a stochastic logistic model under regime switching[J].Math Comput Modelling,2011,54:2139-2154.
  • 5Cheng S R.Stochastic population systems[J].Stoch Anal Appl,2009,27:854-874.
  • 6Wu R,et al.Asymptotic behavior of a stochastic non-autonomous predator-prey model with impulsive perturbations[J].Commun Nonlinear Sci Numer Simul,2015,20:965-974.
  • 7Dubey B,et al.Modelling effects of industrialization,population and pollution on a renewable resource[J].Nonlinear Anal Real World Appl,2010,11:2833-2848.
  • 8Luo Z,et al.Optimal control for an age-dependent competitive species model in a polluted environment[J].Appl Math Comput,2014,228:91-101.
  • 9Hallam T G,et al.Effects of toxicants on populations:a qualitative approach,II.First order kinetics[J].J Math Biol,1983,18:25-37.
  • 10Liu M,et al.Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle[J].Bull Math Biol,2011,73:1969-2012.

引证文献1

二级引证文献1

数学的实践与认识
2014年 第18期

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