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math.AP2025
The role of mutants in the spatio-temporal progression of inflammatory bowel disease: three classes of permanent form travelling waves
Blaine van Rensburg, David J. Needham, Fabian Spill +1
Despite its high prevalence and impact on the lives of those affected, a complete understanding of the cause of inflammatory bowel disease (IBD) is lacking. In this paper, we inves…
math.AP2024
KPP fronts in shear flows with cut-off reaction rates
D. J. Needham, A. Tzella
We consider the effect of a shear flow which has, without loss of generality, a zero mean flow rate, on a Kolmogorov--Petrovskii--Piscounov (KPP) type model in the presence of a di…
math.AP2020
The Evolution of Travelling Waves in a KPP Reaction-Diffusion Model with cut-off Reaction Rate. II. Evolution of Travelling Waves
A. D. O. Tisbury, D. J. Needham, A. Tzella
In Part II of this series of papers, we consider an initial-boundary value problem for the Kolmogorov--Petrovskii--Piscounov (KPP) type equation with a discontinuous cut-off in the…