Abstract
Can foraging by predators or a repulsive prey defense mechanism upset predator-mediated coexistence? This paper investigates one scenario involving a prey-taxis by a prey species. We study a system of three populations involving two competing species with a common predator. All three populations are mobile via random dispersal within a bounded spatial domain Ω, but the predator's movement is influenced by one prey's gradient representing a repulsive effect on the predator. We prove existence of positive solutions, and investigate pattern formation through bifurcation analysis and numerical simulation.
| Original language | American English |
|---|---|
| Pages (from-to) | 2895-2921 |
| Number of pages | 27 |
| Journal | Discrete and Continuous Dynamical Systems - B |
| Volume | 25 |
| Issue number | 8 |
| DOIs | |
| State | Published - Aug 2020 |
Bibliographical note
Publisher Copyright:© 2020 American Institute of Mathematical Sciences. All rights reserved.
ASJC Scopus Subject Areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics
Keywords
- Competing species
- bifurcation
- chemorepulsion
- pattern formation
- predator prey
- prey-taxis
- Pattern formation
- Bifurcation
- Chemorepulsion
- Predator prey
- Prey-taxis
Disciplines
- Mathematics