数学物理学报 ›› 2009, Vol. 29 ›› Issue (5): 1246-1255.

• 论文 • 上一篇    下一篇

随机时滞 Lotka-Volterra 模型

  

  1. 武汉科技大学理学院 武汉 430065;华中科技大学数学与统计学院 武汉 430074
  • 收稿日期:2007-04-22 修回日期:2008-09-01 出版日期:2009-10-25 发布日期:2009-10-25
  • 基金资助:

    武汉科技大学科学基金 (2008XY21)资助

Stochastic Delay Lotka-Volterra Model

  1. College of Science, Wuhan |University of Science and Technology, Wuhan 430065;School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074
  • Received:2007-04-22 Revised:2008-09-01 Online:2009-10-25 Published:2009-10-25
  • Supported by:

    武汉科技大学科学基金 (2008XY21)资助

摘要:

该文揭示了关于生物动态过程中的一类重要的模型, 随机时滞Lotka-Volterra模型的渐近行为, 这种随机过程的解具有很好的逼近性质:如, 解的轨道估计, 渐近性质, 而且它的解还具有随机有界性.

关键词: Brownian 运动, Itos 公式, Lotka-Volterra 模型, 随机有界性, 渐近性质

Abstract:

This paper examines the asymptotic behaviour of the stochastic extension of a fundamentally important population process, namely,
the delay  Lotka-Volterra model. The stochastic version of this process appears to have some intriguing properties such as pathwise
estimation and asymptotic moment estimation. Indeed, their solutions are  stochastically ultimately bounded.

Key words: Brownian motion, Itos formula, Lotka-Volterra Model, Moment boundedness, Asymptotic behaviour

中图分类号: 

  • 60H10