9 citations · 15 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
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…
Extinction of bistable populations is affected by the shape of their initial spatial distribution
Yifei Li, Stuart T. Johnston, Pascal R. Buenzli +2
The question of whether biological populations survive or are eventually driven to extinction has long been examined using mathematical models. In this work we study population sur…
Predicting population extinction in lattice-based birth-death-movement models
Stuart T. Johnston, Matthew J. Simpson, Edmund J. Crampin
The question of whether a population will persist or go extinct is of key interest throughout ecology and biology. Various mathematical techniques allow us to generate knowledge re…