论图上流行病学模型的连续极限：收敛和近似结果

Mathematical Models and Methods in Applied Sciences Pub Date : 2024-04-30 DOI:10.1142/s0218202524500271

Blanca Ayuso de Dios, Simone Dovetta, Laura V. Spinolo

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引用次数: 0

摘要

我们重点研究定义在图上的流行病学模型（典型的 SIR 系统），并研究随着图中顶点数量的发散，解的渐近行为。依靠图子理论，我们提供了极限的特征并建立了收敛结果。我们还提供了确定性离散和随机离散的近似结果。

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On the continuum limit of epidemiological models on graphs: convergence and approximation results

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.

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Mathematical Models and Methods in Applied Sciences

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