Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (5): 1246-1255.

• Articles • Previous Articles     Next Articles

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

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

CLC Number: 

  • 60H10
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