A Stochastic Two Species Competition Model: Nonequilibrium Fluctuation and Stability | Zendy

G. P. Samanta | Zendy

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A Stochastic Two Species Competition Model: Nonequilibrium Fluctuation and Stability

Author(s) -

G. P. Samanta

Publication year - 2011

Publication title -

international journal of stochastic analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.19

H-Index - 28

eISSN - 2090-3340

pISSN - 2090-3332

DOI - 10.1155/2011/489386

Subject(s) - stability (learning theory) , mathematics , competition (biology) , statistical physics , non equilibrium thermodynamics , stochastic modelling , stochastic process , logistic function , fokker–planck equation , mathematical analysis , statistics , physics , ecology , computer science , thermodynamics , biology , machine learning , differential equation

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

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