Correlated noise induced control of prey extinction

Details Correlated noise induced control of prey extinction Correlated noise induced control of prey extinction

2001-10-30

arxiv.org/abs/physics/0110088v2

Physics

Biological Physics

RevTex, 10 pages, 4 figures

Scientific paper

We study the steady state properties of a phenomenological two-state predator model in presence of correlated Gaussian white noise. Based on the corresponding Fokker-Planck equation for probability distribution function the steady state solution of the probability distribution function and its extrema have been investigated. We show for a typical value of noise correlation there is a giant loss of bistability which in turn prevents the prey population from going into extinction.

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