J4 ›› 2011, Vol. 49 ›› Issue (02): 263-266.

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Global Attractivity of Positive Solutions to General“FoodLimited&rdquo|Species Model with Random Perturbation

ZHAO Yanan1,2, GAO Haiyin1   

  1. 1. College of Applied Mathematics, Changchun University, Changchun 130022, China;2. School of Mathematics and Staisttics, Northeast Normal University, Changchun 130024, China
  • Received:2010-07-13 Online:2011-03-26 Published:2011-06-14
  • Contact: ZHAO Yanan E-mail:zhaoyn111@yahoo.com.cn

Abstract:

By constructing Lyapunov function method, the sufficient conditions of the global attractivity in the θth moment and the (θ+1)th moment of positive solutions to the general “food\|limited” species model with random perturbation are given. The results show that the presence of such a noise doesn’t affect the results that we have obtained with the original determinate species model.

Key words: stochastic differential equation, Lyapunov function; global attractivity

CLC Number: 

  • O175.13