A stochastic two species competition model: nonequilibrium fluctuation and stability (Q538919)

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.