most citedSpatial Pattern Formation in Eco-Evolutionary Games with Environment-Driven Motion

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math.DS2026

The Keller-Segel Model for Chemotaxis on Metapopulation Graphs and Graphons

Daecheol Kim, Yefei Zhang, Yuxuan Zhao +1

Many models of spatial populations use directed motion towards environmental attractants as a mechanism for spatial pattern formation. While prior approaches typically focus on par…

math.DS2026

Kernel-Dependent Pattern Formation in a Population Model with Nonlocal Facilitation and Competition

Olivia Clifton, Stephanie Dodson, Daniel B. Cooney

Spatial patterns, such as those in dryland vegetation models, have historically been studied in systems of reaction-diffusion systems with pattern onset via a Turing bifurcation fr…