Patterns formations in a diffusive ratio-dependent predator-prey model of interacting populations

B. I. Camara, M. Haque, H. Mokrani

Research output: Journal PublicationArticlepeer-review

18 Citations (Scopus)

Abstract

The present investigation deals with the analysis of the spatial pattern formation of a diffusive predator-prey system with ratio-dependent functional response involving the influence of intra-species competition among predators within two-dimensional space. The appropriate condition of Turing instability around the interior equilibrium point of the present model has been determined. The emergence of complex patterns in the diffusive predator-prey model is illustrated through numerical simulations. These results are based on the existence of bifurcations of higher codimension such as Turing-Hopf, Turing-Saddle-node, Turing-Transcritical bifurcation, and the codimension-3 Turing-Takens-Bogdanov bifurcation. The paper concludes with discussions of our results in ecology.

Original languageEnglish
Pages (from-to)374-383
Number of pages10
JournalPhysica A: Statistical Mechanics and its Applications
Volume461
DOIs
Publication statusPublished - 1 Nov 2016
Externally publishedYes

Keywords

  • Intra-species competition
  • Pattern formation
  • Turing-Hopf bifurcation
  • Turing-Hopf-Andronov bifurcation
  • Turing-Saddle-node
  • Turing-Transcritical bifurcation

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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