Delay induced spatiotemporal patterns in a diffusive intraguild predation model with Beddington-DeAngelis functional response

Math Biosci Eng. 2018 Jun 1;15(3):595-627. doi: 10.3934/mbe.2018027.

Abstract

A diffusive intraguild predation model with delay and Beddington-DeAngelis functional response is considered. Dynamics including stability and Hopf bifurcation near the spatially homogeneous steady states are investigated in detail. Further, it is numerically demonstrated that delay can trigger the emergence of irregular spatial patterns including chaos. The impacts of diffusion and functional response on the model's dynamics are also numerically explored.

Keywords: Beddington-DeAngelis functional response; diffusion; Hopf bifurcation; Intraguild predation; chaos; delay; spatiotemporal dynamics.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Animals
  • Computer Simulation
  • Ecosystem
  • Food Chain
  • Mathematical Concepts
  • Models, Biological*
  • Predatory Behavior / physiology*
  • Spatio-Temporal Analysis