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math.AP2026
Self-similar smoothing of a discontinuity by degenerate cross-diffusion
Michael C. Dallaston
We consider the dynamics of an idealised cross-diffusion model of biological invasion in which the diffusion of an invading population is inhibited by a resident population, which…
math.AP2025
Wavespeed selection and interstitial gap formation in an acid-mediated cancer invasion model
Yuhui Chen, Michael C. Dallaston
We consider a two-component reaction-diffusion system that has previously been developed to model invasion of cells into a resident cell population. The system is an idealised vers…