CORDIS Project
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This project develops new models for understanding how different species influence each other's movement in various environments. By focusing on competitive dynamics, it aims to derive a well-known system from kinetic equations, enhancing the understanding of population dynamics.
Cross-diffusion aims at modelling the influence of one species on the diffusion of another one and can be seen as an extension of the standard diffusion described by the Laplacian.
It finds application in several fields like physics, chemistry and biology.
Of particular interest in the literature is the macroscopic cross-diffusion Shigesada–Kawasaki–Teramoto (SKT) system which is considered the prototypical model to describe the dispersive movement of cross-interacting species in population dyna…
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