2 papers
q-bio.PE2025
A phylogeny of biological patterns formed by nonlocal advection
Valeria Giunta, Thomas Hillen, Mark A. Lewis +1
From tumour invasion to cell sorting and animal territoriality, many biological systems rely on nonlocal interactions that drive complex spatial organisation. Partial differential…
math.AP2023
Positivity and global existence for nonlocal advection-diffusion models of interacting populations
Valeria Giunta, Thomas Hillen, Mark Lewis +1
In this paper we study a broad class of non-local advection-diffusion models describing the behaviour of an arbitrary number of interacting species, each moving in response to the…