European Conference on Mathematical and Theoretical Biology (ECMTB 2026)

Pattern formation in a phenotype-structured Shigesada-Kawasaki-Teramoto model

MS142-01

16 Jul 2026, 11:20

20m

02.01 - HS (University of Graz)

Minisymposium Talk Multiscale and Multiphysics Modelling Mechanistic insights from in-vivo and in-vitro data: modelling tissue physiology and pathology away from equilibrium

Speaker

Davide Cusseddu (https://orcid.org/0000-0002-6882-9486)

Description

Shigesada, Kawasaki, and Teramoto showed that introducing cross-diffusion into the spatial Lotka–Volterra competition model can destabilise homogeneous equilibria and generate spatial patterns. In this talk, I will consider populations with phenotype heterogeneity and introduce a general framework in which individuals’ movements and interactions are phenotype-dependent. Motivated by cellular plasticity, I study a regime of rapid phenotype switching and derive conditions for cross-diƯusion- and phenotype-driven instabilities. I conclude with numerical simulations illustrating the role of the phenotype distribution and its impact on competitive outcomes. This is a joint work with Tommaso Lorenzi and Gaetana Gambino.