Predator-prey dynamics in models of prey dispersal in two-patch environments

Yang Kuang, Yasuhiro Takeuchi

Research output: Contribution to journalArticlepeer-review

150 Scopus citations

Abstract

Models are presented for a single species that disperses between two patches of a heterogeneous environment with barriers between patches and a predator for which the dispersal between patches does not involve a barrier. Conditions are established for the existence, uniform persistence, and local and global stability of positive steady states. In particular, an example that demonstrates both the stabilizing and destabilizing effects of dispersion is presented. This example indicates that a stable migrating predator-prey system can be made unstable by changing the amount of migration in both directions.

Original languageEnglish (US)
Pages (from-to)77-98
Number of pages22
JournalMathematical Biosciences
Volume120
Issue number1
DOIs
StatePublished - Mar 1994

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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