Event description
Cross-diffusion systems play a central role in mathematical modelling, in which density-dependent dispersal and multiscale mechanisms can lead to spatial segregation and diffusion-driven instabilities. In several relevant examples, including generalised SKT-type competition models, cross-diffusion terms can be rigorously derived as fast-reaction limits, thereby providing a clear biological interpretation and posing significant analytical challenges. In this talk, we investigate the impact of biologically derived cross-diffusion on Turing instability, by outlining its relation with the rigorous fast reaction limit approach.