11 citations · 11 across the 3 of their papers we have counts for
3 papers
q-bio.PE2023
Survival, extinction, and interface stability in a two--phase moving boundary model of biological invasion
Matthew J Simpson, Nizhum Rahman, Scott W McCue +1
We consider a moving boundary mathematical model of biological invasion. The model describes the spatiotemporal evolution of two adjacent populations: each population undergoes lin…
physics.bio-ph2022★ 11 cited
Pattern formation and front stability for a moving-boundary model of biological invasion and recession
Alexander K. Y. Tam, Matthew J. Simpson
We investigate pattern formation in a two-dimensional (2D) Fisher--Stefan model, which involves solving the Fisher--KPP equation on a compactly-supported region with a moving bound…
physics.bio-ph2022
The Effect of Geometry on Survival and Extinction in a Moving-Boundary Problem Motivated by the Fisher-KPP Equation
Alexander K. Y. Tam, Matthew J. Simpson
The Fisher-Stefan model involves solving the Fisher-KPP equation on a domain whose boundary evolves according to a Stefan-like condition. The Fisher-Stefan model alleviates two pra…