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The object of this paper is to study the stability behaviours of the deterministicand stochastic versions of a two-species symmetric competition model. The logisticparameters of the competitive species are perturbed by colored noises or Ornstein-Uhlenbeckprocesses due to random environment. The Fokker-Planck equation has been used to obtainprobability density functions. Here, we have also discussed the relationship between stabilitybehaviours of this model in a deterministic environment and the corresponding model in astochastic environment

A Stochastic Two Species Competition Model: Nonequilibrium Fluctuation and Stability