The existence of invariant measures is a crucial fact in the study of qualitative properties of stochastic systems. In this paper the authors prove the existence of an invariant measure for a system of two species in competition and spatial diffusion under linear multiplicative noise. Some conditions are imposed on the stochastic term in order to assure the permanence of at least one of the species.
Mesure invariante pour le système d'équations stochastiques du modèle de compétition avec diffusion spatiale.
YASHIMA, Hisao
2009-01-01
Abstract
The existence of invariant measures is a crucial fact in the study of qualitative properties of stochastic systems. In this paper the authors prove the existence of an invariant measure for a system of two species in competition and spatial diffusion under linear multiplicative noise. Some conditions are imposed on the stochastic term in order to assure the permanence of at least one of the species.
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