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

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

Keywords:

• Predator–prey
• patchy environment
• survival
• extinction
• stability

AMS(MOS)::

• 34C05
• 34C11
• 34D05

^*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