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math.AP2023★ 1 cited
Distinguishing between long-transient and asymptotic states in a biological aggregation model
Jonathan R. Potts, Kevin J. Painter
Aggregations are emergent features common to many biological systems. Mathematical models to understand their emergence are consequently widespread, with the aggregation-diffusion…
math.AP2021
Local and Global Existence for Non-local Multi-Species Advection-Diffusion Models
Valeria Giunta, Thomas Hillen, Mark A. Lewis +1
Non-local advection is a key process in a range of biological systems, from cells within individuals to the movement of whole organisms. Consequently, in recent years, there has be…