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Correlated noise induced control of prey extinction

Suman Kumar Banik
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Abstract

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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Suman Kumar Banik. 2001-12-28. Correlated noise induced control of prey extinction. https://arxiv.org/abs/physics/0110088

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