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A Stochastic Two Species Competition Model: Nonequilibrium Fluctuation and Stability

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  • G. P. Samanta

Abstract

The object of this paper is to study the stability behaviours of the 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 random environment. The Fokker-Planck equation has been used to obtain probability density functions. Here, we have also discussed the relationship between stability behaviours of this model in a deterministic environment and the corresponding model in a stochastic environment.

Suggested Citation

  • G. P. Samanta, 2011. "A Stochastic Two Species Competition Model: Nonequilibrium Fluctuation and Stability," International Journal of Stochastic Analysis, Hindawi, vol. 2011, pages 1-7, April.
    • Handle: RePEc:hin:jnijsa:489386
    DOI: 10.1155/2011/489386
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    Cited by:

    1. Das, Amartya & Samanta, G.P., 2021. "Influence of environmental noises on a prey–predator species with predator-dependent carrying capacity in alpine meadow ecosystem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 1294-1316.
    2. Liu, He & Dai, Chuanjun & Yu, Hengguo & Guo, Qing & Li, Jianbing & Hao, Aimin & Kikuchi, Jun & Zhao, Min, 2023. "Dynamics of a stochastic non-autonomous phytoplankton–zooplankton system involving toxin-producing phytoplankton and impulsive perturbations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 368-386.

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