Effect of a functional response-dependent prey refuge in a predator-prey model

Mainul Haque, Md Sabiar Rahman, Ezio Venturino, Bai Lian Li

Research output: Journal PublicationArticlepeer-review

25 Citations (Scopus)

Abstract

We propose two mathematical models for predator-prey interactions allowing for prey refuge. The novelty lies in the assumption that the amount of prey in refugia is proportional not only to the encounters between prey and predator, but also it is modelled by a Holling type II response function. The second model also accounts for predator's intraspecific competition. We fully analyse the models and discuss all possible coexistence equilibria configurations and their local and global stability. A saddle-node bifurcation analysis is also performed for a wide set of parameter ranges. The ultimate behavior of the systems depends mainly on two relevant parameters, the prey refuge constant and the predator's intraspecific competition.

Original languageEnglish
Pages (from-to)248-256
Number of pages9
JournalEcological Complexity
Volume20
DOIs
Publication statusPublished - 1 Dec 2014
Externally publishedYes

Keywords

  • Bifurcation
  • Intra-species competition
  • Predator-prey
  • Refuge
  • Stability

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecological Modelling

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