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随机Lotka-Volterra系统的稳定性 被引量：2

The Stability of Stochastic Lotka-Volterra Systems
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摘要 利用Lyapunov方法与K.lto公式及鞅的理论,研究了随机Lotka-Volterra系统 正平衡点的全局渐近稳定性.得到了随机全局渐近稳定的主要定理,并以确定性系统的全局稳定 性作为定理的推论. Using the method of Lyapunov function, K. Ito's formula and Martingale's theory. The stochastic asymptotical all stability of the positive rest position of the stochastic Lotka-Volterra is studied. The theorem of stochastic asymptotical all stability is proved and the conclusion of certain systems are easy from the therem.
作者 郭子君
机构地区 华南农业大学理学院
出处 《生物数学学报》 CSCD 2004年第2期188-192,共5页 Journal of Biomathematics
关键词 随机系统 随机微分方程 平衡点 随机稳定性 Stochastic system Stochastic differential equation Equilibrium point Stochastic stability
分类号 O211.63 [理学—概率论与数理统计]
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参考文献5

  • 1Xuerong Mao. Almost sure exponential stability for a class of stochastic differential equations with applications to stochastic flows[J]. Stochastic Analysis and Applications. 1993, 11(1):77-95.
  • 2Rangquan Wu. Stochastic Differential Equations[M]. Piman advanced publishing program.London. 1985,112-139.
  • 3Z Y Gao, N U Ahmed. Stabilizablity of certain stochastic systems[J]. Int system sci. 1986, 17(8):1175-1185.
  • 4廖晓昕,毛学荣.随机中立型微分方程稳定性[J].科学通报,1997,42(10):1117-1118. 被引量：7
  • 5郭子君,吴让泉.Lipschitz条件下关于半鞅SDE解的存在性与唯一性[J].工程数学学报,1995,12(2):17-24. 被引量：4

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生物数学学报
2004年 第2期

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