On the continuum limit of epidemiological models on graphs: convergence and approximation results
Analysis of PDEs
2023-10-27 v2
Abstract
We focus on an epidemiological model (the archetypical SIR system) defined on graphs and study the asymptotic behavior of the solutions as the number of vertices in the graph diverges. By relying on the theory of so called graphons we provide a characterization of the limit and establish convergence results. We also provide approximation results for both deterministic and random discretizations.
Cite
@article{arxiv.2211.01932,
title = {On the continuum limit of epidemiological models on graphs: convergence and approximation results},
author = {Blanca Ayuso de Dios and Simone Dovetta and Laura V. Spinolo},
journal= {arXiv preprint arXiv:2211.01932},
year = {2023}
}
Comments
30 pages, 1 figure