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

2 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

Access to Document

10.1016/j.jde.2024.08.069

Cite this

@article{abbbeb8403f441f48fe9b6aee232fae1,

title = "The graph limit for a pairwise competition model",

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.",

author = "Immanuel Ben-Porat and Carrillo, \{Jos{\'e} A.\} and Jabin, \{Pierre Emmanuel\}",

note = "Publisher Copyright: {\textcopyright} 2024",

year = "2024",

month = dec,

day = "25",

doi = "10.1016/j.jde.2024.08.069",

language = "English (US)",

volume = "413",

pages = "329--369",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - The graph limit for a pairwise competition model

AU - Ben-Porat, Immanuel

AU - Carrillo, José A.

AU - Jabin, Pierre Emmanuel

PY - 2024/12/25

Y1 - 2024/12/25

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/85202962387

UR - https://www.scopus.com/inward/citedby.url?scp=85202962387&partnerID=8YFLogxK

U2 - 10.1016/j.jde.2024.08.069

DO - 10.1016/j.jde.2024.08.069

M3 - Article

AN - SCOPUS:85202962387

SN - 0022-0396

VL - 413

SP - 329

EP - 369

JO - Journal of Differential Equations

JF - Journal of Differential Equations

ER -

The graph limit for a pairwise competition model

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this