Pattern formation in a predator-mediated coexistence model with prey-taxis

Authors

Evan Haskell, Nova Southeastern UniversityFollow
Jonathan Bell, University of Maryland Baltimore County

Document Type

Article

Publication Date

2-2020

Publication Title

Discrete and Continuous Dynamical Systems - B

Keywords

Competing species, predator prey, prey-taxis, chemorepulsion, pattern formation, bifurcation

ISSN

1531-3492

Volume

25

Issue/No.

8

First Page

2895

Last Page

2921

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.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

NSUWorks Citation

Haskell, Evan and Bell, Jonathan, "Pattern formation in a predator-mediated coexistence model with prey-taxis" (2020). Mathematics Faculty Articles. 310.
https://nsuworks.nova.edu/math_facarticles/310

DOI

10.3934/dcdsb.2020045