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Persistence in stochastic food web models

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Abstract

A sufficient condition is given for stochastic boundedness persistence of a top predator in generalized Lotka-Volterra-type stochastic food web models in arbitrary bounded regions of state space. The main result indicates that persistence in the corresponding deterministic system is preserved in the stochastic system if the intensities of the random fluctuations are not too large.

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Authors and Affiliations

  1. Department of Mathematics, University of Georgia, 30602, Athens, GA, USA

    Thomas C. Gard

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  1. Thomas C. Gard
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Additional information

This work was supported, in part, by the U. S. Environmental Protection Agency under Grant No. CR 807830.

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Gard, T.C. Persistence in stochastic food web models. Bltn Mathcal Biology 46, 357–370 (1984). https://doi.org/10.1007/BF02462011

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  • DOI: https://doi.org/10.1007/BF02462011

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