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Gissell Estrada-Rodríguez (DMAT, CRM) Mathematical modelling of biological, physical, and social phenomena using partial differential equations (PDEs) to describe the average behaviour of underlying microscopic (individual-level) dynamics has received significant attention [6, 11]. Since A. Turing’s foundational work on reaction–diffusion systems, followed by the influential chemotaxis model by Patlak, Keller, and Segel in the 1950s […]

Inmaculada Baldomá Barraca (DMAT, CRM) In a wide range of physical, chemical, and biological systems modelling the interaction among different species, the dynamics of each species is usually governed by a diffusion mechanism together with a reaction term, which takes into account the interactions with the other species. For example, such systems arise when modelling