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A stochastic two species competition model: nonequilibrium fluctuation and stability. (English) Zbl 1229.92080
Summary: The object of this paper is to study the stability behaviours of deterministic and stochastic versions of a two-species symmetric competition model. The logistic parameters of the competitive species are perturbed by colored noises or Ornstein-Uhlenbeck processes due to the random environment. The Fokker-Planck equation has been used to obtain probability density functions. We have also discussed the relationship between stability behaviours of this model in a deterministic environment and the corresponding model in a stochastic environment.

MSC:
92D40 Ecology
60J70 Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
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