Asymptotic behaviour of the stochastic Gilpin-Ayala competition models. (English) Zbl 1195.34083

Lian, Baosheng; Hu, Shigeng

J. Math. Anal. Appl. 339, No. 1, 419-428 (2008).

Summary: 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 compare the classical Lotka-Volterra with Gilpin-Ayala competition system.

MSC:

34F05	Ordinary differential equations and systems with randomness
92D25	Population dynamics (general)
34D05	Asymptotic properties of solutions to ordinary differential equations

Keywords:

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

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