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

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