Pattern formation induced by intraspecific interactions in a predator-prey system

Luciano Stucchi, Javier Galeano, Desiderio A. Vasquez

Research output: Contribution to journalArticle in a journalpeer-review

3 Scopus citations

Abstract

Differential diffusion is a source of instability in population dynamics systems when species diffuse with different rates. Predator-prey systems show this instability only under certain specific conditions, usually requiring one to involve Holling-type functionals. Here we study the effects of intraspecific cooperation and competition on diffusion-driven instability in a predator-prey system with a different structure. We conduct the analysis on a generalized population dynamics that bounds intraspecific and interspecific interactions with Verhulst-type saturation terms instead of Holling-type functionals. We find that instability occurs due to the intraspecific saturation or intraspecific interactions, both cooperative and competitive. We present numerical simulations and show spatial patterns due to diffusion.
Original languageEnglish
Article number062414
JournalPhysical Review E
Volume100
Issue number6
DOIs
StatePublished - 23 Dec 2019

Bibliographical note

Publisher Copyright:
© 2019 American Physical Society.

Keywords

  • Diffusion
  • Ecosystems
  • Population dynamics
  • Stability

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