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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…
math.AP2023
Weakly nonlinear analysis of a two-species non-local advection-diffusion system
Valeria Giunta, Thomas Hillen, Mark A. Lewis +1
Nonlocal interactions are ubiquitous in nature and play a central role in many biological systems. In this paper, we perform a bifurcation analysis of a widely-applicable advection…