Prey fear of a specialist predator in a tri-trophic food web can eliminate the superpredator

Nabaa Hassain Fakhry, Raid Kamel Naji, Stacey R. Smith?, Mainul Haque

Research output: Journal PublicationArticlepeer-review

1 Citation (Scopus)

Abstract

We propose an intraguild predation ecological system consisting of a tri-trophic food web with a fear response for the basal prey and a Lotka–Volterra functional response for predation by both a specialist predator (intraguild prey) and a generalist predator (intraguild predator), which we call the superpredator. We prove the positivity, existence, uniqueness, and boundedness of solutions, determine all equilibrium points, prove global stability, determine local bifurcations, and illustrate our results with numerical simulations. An unexpected outcome of the prey's fear of its specialist predator is the potential eradication of the superpredator.

Original languageEnglish
Article number963991
JournalFrontiers in Applied Mathematics and Statistics
Volume8
DOIs
Publication statusPublished - 3 Nov 2022

Keywords

  • fear effect
  • food web
  • intraguild predation
  • specialist predator
  • stability

ASJC Scopus subject areas

  • Statistics and Probability
  • Applied Mathematics

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