Asymptotic behaviour of the stochastic Gilpin-Ayala competition models

作者：Lian Baosheng^*; Hu Shigeng

来源：Journal of Mathematical Analysis and Applications, 2008, 339(1): 419-428.

DOI：10.1016/j.jmaa.2007.06.058

• Gilpin-Ayala competition models
• Brownian motion
• stochastic differential equation
• moment boundedness
• asymptotic behaviour

In this paper, we investigate a stochastic Gilpin-Ayala competition system, which is more general and more realistic than the classical Lotka-Volterra competition system. We discuss the asymptotic behaviour in detail of the stochastic Gilpin-Ayala competition system, and comparing the classical Lotka-Volterra with Gilpin-Ayala competition system, we find that the latter has better properties.

• 出版日期2008-3-1
• 单位武汉科技大学; 华中科技大学