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math.AP2026
Eco-evolutionary dynamics of a trait-structured predator-prey model
Manh Hong Duong, Fabian Spill, Blaine van Rensburg
The coupling between evolutionary and ecological changes (eco-evolutionary dynamics) has been shown to be relevant among diverse species, and is also of interest outside of ecology…
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
Adaptive Dynamics of Diverging Fitness Optima
Manh Hong Duong, Fabian Spill, Blaine van Rensburg
We analyse a non-local parabolic integro-differential equation modelling the evolutionary dynamics of a phenotypically-structured population in a changing environment. Such models…