Cooperative hunting in a discrete predator-prey system

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

Research output: Contribution to journalArticlepeer-review

Abstract

We propose and investigate a discrete-time predator-prey system with cooperative hunting in the predator population. The model is constructed from the classical Nicholson-Bailey host-parasitoid system with density dependent growth rate. A sufficient condition based on the model parameters for which both populations can coexist is derived, namely that the predator's maximal reproductive number exceeds one. We study existence of interior steady states and their stability in certain parameter regimes. It is shown that the system behaves asymptotically similar to the model with no cooperative hunting if the degree of cooperation is small. Large cooperative hunting, however, may promote persistence of the predator for which the predator would otherwise go extinct if there were no cooperation.

Original languageEnglish
Article number2050063
JournalInternational Journal of Biomathematics
Volume13
Issue number7
DOIs
StatePublished - Oct 1 2020

Keywords

  • Cooperative hunting
  • Neimark-Sacker bifurcation
  • discrete predator-prey system
  • predator persistence

Fingerprint

Dive into the research topics of 'Cooperative hunting in a discrete predator-prey system'. Together they form a unique fingerprint.

Cite this