The graph limit for a pairwise competition model

2023/11/20 by Porat, Immanuel Ben, Carrillo, José A., Jabin, Pierre-Emmanuel · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2311.11536

Abstract

This paper is aimed at extending the graph limit with time dependent weights obtained in [1] for the case of a pairwise competition model introduced in [10], in which the equation governing the weights involves a weak singularity at the origin. Well posedness for the graph limit equation associated with the ODE system of the pairwise competition model is also proved.

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• Non-exchangeable mean-field theory for adaptive weights: propagation of dissociatedness and graphon sampling lemma

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