Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion

C Colson, F Sánchez-Garduño… - … of the Royal …, 2021 - royalsocietypublishing.org
In this paper, we carry out a travelling-wave analysis of a model of tumour invasion with
degenerate, cross-dependent diffusion. We consider two types of invasive fronts of tumour …

Propagation fronts in a simplified model of tumor growth with degenerate cross-dependent self-diffusivity

T Gallay, C Mascia - Nonlinear Analysis: Real World Applications, 2022 - Elsevier
Motivated by tumor growth in Cancer Biology, we provide a complete analysis of existence
and non-existence of invasive fronts for the reduced Gatenby–Gawlinski model∂ t U= U f …

Wavespeed selection of travelling wave solutions of a two-component reaction-diffusion model of cell invasion

Y Chen, MC Dallaston - arXiv preprint arXiv:2411.12232, 2024 - arxiv.org
We consider a two-component reaction-diffusion system that has previously been developed
to model invasion of cells into a resident cell population. This system is a generalisation of …