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 language | English |
---|---|
Article number | 963991 |
Journal | Frontiers in Applied Mathematics and Statistics |
Volume | 8 |
DOIs | |
Publication status | Published - 3 Nov 2022 |
Keywords
- fear effect
- food web
- intraguild predation
- specialist predator
- stability
ASJC Scopus subject areas
- Statistics and Probability
- Applied Mathematics