English

The graph limit for a pairwise competition model

Analysis of PDEs 2024-09-17 v5

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.

Keywords

Cite

@article{arxiv.2311.11536,
  title  = {The graph limit for a pairwise competition model},
  author = {Immanuel Ben Porat and José A. Carrillo and Pierre-Emmanuel Jabin},
  journal= {arXiv preprint arXiv:2311.11536},
  year   = {2024}
}

Comments

30 pages. Referee's comments incorporated

R2 v1 2026-06-28T13:25:42.725Z