102 citations · 207 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
Exact sharp-fronted solutions for nonlinear diffusion on evolving domains
Stuart T. Johnston, Matthew J. Simpson
Models of diffusive processes that occur on evolving domains are frequently employed to describe biological and physical phenomena, such as diffusion within expanding tissues or su…
Simplified models of diffusion in radially-symmetric geometries
Luke P. Filippini, Matthew J. Simpson, Elliot J. Carr
We consider diffusion-controlled release of particles from -dimensional radially-symmetric geometries. A quantity commonly used to characterise such diffusive processes is the p…
Exact solutions for diffusive transport on heterogeneous growing domains
Stuart T. Johnston, Matthew J. Simpson
From the smallest biological systems to the largest cosmological structures, spatial domains undergo expansion and contraction. Within these growing domains, diffusive transport is…