Pattern formation in a predator-mediated coexistence model with prey-taxis
Discrete and Continuous Dynamical Systems - B
Competing species, predator prey, prey-taxis, chemorepulsion, pattern formation, bifurcation
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.
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Haskell, Evan and Bell, Jonathan, "Pattern formation in a predator-mediated coexistence model with prey-taxis" (2020). Mathematics Faculty Articles. 310.