The graph limit for a pairwise competition model

Immanuel Ben-Porat; José A. Carrillo; Pierre Emmanuel Jabin

doi:10.1016/j.jde.2024.08.069

The graph limit for a pairwise competition model

Immanuel Ben-Porat, José A. Carrillo, Pierre Emmanuel Jabin

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English (US)
Pages (from-to)	329-369
Number of pages	41
Journal	Journal of Differential Equations
Volume	413
DOIs	https://doi.org/10.1016/j.jde.2024.08.069
State	Published - Dec 25 2024

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.jde.2024.08.069

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AU - Jabin, Pierre Emmanuel

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AB - 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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JO - Journal of Differential Equations

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The graph limit for a pairwise competition model

Abstract

All Science Journal Classification (ASJC) codes

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