Cooperative hunting in a discrete predator–prey system II

Yunshyong Chow, Sophia R.J. Jang, Hua Ming Wang

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate a discrete-time predator–prey system with cooperative hunting in the predators proposed by Chow et al. by determining local stability of the interior steady states analytically in certain parameter regimes. The system can have either zero, one or two interior steady states. We provide criteria for the stability of interior steady states when the system has either one or two interior steady states. Numerical examples are presented to confirm our analytical findings. It is concluded that cooperative hunting of the predators can promote predator persistence but may also drive the predator to a sudden extinction.

Original languageEnglish
Pages (from-to)247-264
Number of pages18
JournalJournal of Biological Dynamics
Volume13
Issue numbersup1
DOIs
StatePublished - Mar 15 2019

Keywords

  • 39A30
  • 92D25
  • Cooperative hunting
  • bistability
  • discrete predator–prey system
  • predator persistence

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