Mathematics Faculty Articles

Title

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

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

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

DOI

10.3934/dcdsb.2020045

This document is currently not available here.

Peer Reviewed

Find in your library

Share

COinS