3 papers
math.AP2026
Global Dynamics of Trait-Structured Generalised Lotka-Volterra Systems with Trait-Independent Interactions
Manh Hong Duong, Nataliya Balabanova, Blaine van Rensburg
We study the long time dynamics of a selection-mutation integro-differential Lotka-Volterra system of populations. In our model, fitness depends on a continuous phenotypic trai…
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…