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- Title
On the continuum limit of epidemiological models on graphs: Convergence and approximation results.
- Authors
Ayuso de Dios, Blanca; Dovetta, Simone; Spinolo, Laura V.
- 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 graphons we provide a characterization of the limit and establish convergence results. We also provide approximation results for both deterministic and random discretizations.
- Subjects
EPIDEMIOLOGICAL models; MATHEMATICAL continuum
- Publication
Mathematical Models & Methods in Applied Sciences, 2024, Vol 34, Issue 8, p1483
- ISSN
0218-2025
- Publication type
Article
- DOI
10.1142/S0218202524500271