The graph limit for a pairwise competition model

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.

Authors

Institutions

Publication Details

Journal
Journal of Differential Equations
Published
2024-09-03
DOI
https://doi.org/10.1016/j.jde.2024.08.069
Citations
3
Primary Topic
Stochastic processes and statistical mechanics
Type
article
Field-Weighted Citation Impact
2.67

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

The graph limit for a pairwise competition model

José A. Carrillo, Pierre‐Emmanuel Jabin, Immanuel Ben-Porat
3 citations
Journal of Differential Equations
Stochastic processes and statistical mechanics
2.67
article

The graph limit for a pairwise competition model

José A. Carrillo, Pierre‐Emmanuel Jabin, Immanuel Ben-Porat
article en
3 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.

Journal of Differential EquationsVol. 413
Pennsylvania State University (US), University of Oxford (GB)
Engineering and Physical Sciences Research Council
Openalex Percentile: Top 11%
Stochastic processes and statistical mechanics
2.67
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.