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Applicable Analysis
An International Journal
Volume 31, 1989 - Issue 4
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Original Articles

Predator survival versus extinction as a function of dispersal in a predator–prey model with patchy environment

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Pages 247-266 | Received 22 Aug 1988, Published online: 04 Mar 2011
 

Abstract

This paper is concerned with a model of a predator–prey system, where both populations disperse among n patches forming their habitat. Criteria are given tor both survival and extinction of the predator population. In case the predator survives, conditions are derived which guarantee a globally asymptotically stable positive equilibrium

AMS(MOS)::

*Research partially supported by the Natural Sciences and Engineering Research Council of Canada, Grant No. NSERC A4823

On leave from Shizuoka University, Hamamatsu, Japan. Research partially supported by Ministry of Education of Japan Government grant

*Research partially supported by the Natural Sciences and Engineering Research Council of Canada, Grant No. NSERC A4823

On leave from Shizuoka University, Hamamatsu, Japan. Research partially supported by Ministry of Education of Japan Government grant

Notes

*Research partially supported by the Natural Sciences and Engineering Research Council of Canada, Grant No. NSERC A4823

On leave from Shizuoka University, Hamamatsu, Japan. Research partially supported by Ministry of Education of Japan Government grant

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