Turing patterns in a diffusive Holling–Tanner predator-prey model with an alternative food source for the predator

Claudio Arancibia-Ibarra*, Michael Bode, José Flores, Graeme Pettet, Peter van Heijster

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

In this manuscript, we consider temporal and spatio-temporal modified Holling–Tanner predator-prey models with predator-prey growth rate as a logistic type, Holling type II functional response and alternative food sources for the predator. From our result of the temporal model, we identify regions in parameter space in which Turing instability in the spatio-temporal model is expected and we show numerical evidence where the Turing instability leads to spatio-temporal periodic solutions. Subsequently, we analyse these instabilities. We use simulations to illustrate the behaviour of both the temporal and spatio-temporal model.

Original languageEnglish
Article number105802
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume99
DOIs
Publication statusPublished - Aug 2021
Externally publishedYes

Keywords

  • Alternative food
  • Modified Holling–Tanner model
  • Turing instability
  • Turing patterns

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