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Random predator-prey interactions in a varying environment: Extinction or survival

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Abstract

The random predator-prey type interactions of the population species in a random varying environment have been investigated. The Fokker-Planck equation for the transition probability, corresponding to the stochastic differential equations established from Lotka-Volterra equations by the introduction of randomness and variability, has been integrated in the form of a path integral. The transition probabilities for extinction or survival of one or several species have been approximately evaluated and investigated.

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  1. Department of Applied Mathematics, Calcutta University, University College of Sciences, 92 A.P.C. Road, Calcutta-9, India

    S. S. De

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  1. S. S. De
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De, S.S. Random predator-prey interactions in a varying environment: Extinction or survival. Bltn Mathcal Biology 46, 175–184 (1984). https://doi.org/10.1007/BF02463729

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  • DOI: https://doi.org/10.1007/BF02463729

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