Halmos Mathematics Faculty Publishes Article on Pattern Formation

Halmos Mathematics Professor Evan Haskell, Ph.D. recently published an article entitled, “Pattern formation in a predator-mediated coexistence model with prey-taxis” in the scientific journal Discrete & Continuous Dynamical Systems – B. With his co-author Jonathan Bell, Ph.D. from the University of Maryland Baltimore County, the paper investigates one scenario involving a prey-taxis by a prey species. It studies 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. The paper proves the existence of positive solutions and investigate pattern formation through bifurcation analysis and numerical simulation.