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

Hiromi Seno

doi:10.1007/BF02458629

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

Hiromi Seno

INF - Computer and Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	557-577
Number of pages	21
Journal	Bulletin of Mathematical Biology
Volume	53
Issue number	4
DOIs	https://doi.org/10.1007/BF02458629
Publication status	Published - 1991 Jul

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title = "Predator's invasion into an isolated patch with spatially heterogeneous prey distribution",

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.",

author = "Hiromi Seno",

note = "Funding Information: Special thanks are due to Ms Hidemi Koito for her heartful encouragement. This work was supported in part by a cooperative agreement on Applied Mathematics and Mathematical Biology between Kyoto University and The University of Naples, and by the Ishizaka Foundation.",

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AU - Seno, Hiromi

N1 - Funding Information: Special thanks are due to Ms Hidemi Koito for her heartful encouragement. This work was supported in part by a cooperative agreement on Applied Mathematics and Mathematical Biology between Kyoto University and The University of Naples, and by the Ishizaka Foundation.

PY - 1991/7

Y1 - 1991/7

N2 - 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.

AB - 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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U2 - 10.1007/BF02458629

DO - 10.1007/BF02458629

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VL - 53

SP - 557

EP - 577

JO - Bulletin of Mathematical Biology

JF - Bulletin of Mathematical Biology

IS - 4

ER -

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

Abstract

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