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Predator's invasion into an isolated patch with spatially heterogeneous prey distribution

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Abstract

The invasion success of a diffusing predator which changes its diffusion coefficient depending on whether the prey exists or not is investigated. The prey is assumed to be immobile and distributed in an isolated patch. The isolated patch consists of two kinds of region: prey-existing zone and prey-vacant zone. We discuss what relation a heterogeneity of prey distribution has with the predator's invasion success into the patch. Its spatial heterogeneity appears to affect significantly the predator's invasion. In an Appendix we briefly treat an analogous problem involving two competing species.

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  1. Information Processing Center of Medical Sciences, Nippon Medical School, Sendagi 1-1-5, Bunkyo-ku, 113, Tokyo, Japan

    Hiromi Seno

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  1. Hiromi Seno
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Seno, H. Predator's invasion into an isolated patch with spatially heterogeneous prey distribution. Bltn Mathcal Biology 53, 557–577 (1991). https://doi.org/10.1007/BF02458629

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  • DOI: https://doi.org/10.1007/BF02458629

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