论文标题
部分可观测时空混沌系统的无模型预测
On the continuum limit of epidemiological models on graphs: convergence and approximation results
论文作者
论文摘要
我们专注于图表上定义的流行病学模型（原型SIR系统），并研究溶液的渐近行为是图形散布的顶点数量。通过依靠所谓的图形理论，我们提供了极限的表征并建立收敛结果。我们还为确定性和随机离散化提供了近似结果。
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.
