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

Epidemiology (92D30) Applications of graph theory (05C90) PDEs in connection with biology, chemistry and other natural sciences (35Q92) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Convergent sequences of dense graphs. II. Multiway cuts and statistical physics
Limits of dense graph sequences
Szemerédi's lemma for the analyst
Mathematical epidemiology.
Convergent sequences of dense graphs. I: Subgraph frequencies, metric properties and testing
Quick approximation to matrices and applications
On the statistics of vision: The Julesz conjecture
A contribution to the mathematical theory of epidemics.
The application of mathematics to medical problems.
Mathematical biology. Vol. 1: An introduction.
Mathematical biology. Vol. 2: Spatial models and biomedical applications.
Correction to: ``The nonlinear heat equation on W-random graphs
An \(L^{p}\) theory of sparse graph convergence. II: LD convergence, quotients and right convergence
Recurrence of distributional limits of finite planar graphs
The Kuramoto model on power law graphs: synchronization and contrast states
Consistent nonparametric estimation for heavy-tailed sparse graphs
An infinite-dimensional metapopulation SIS model
Dynamical patterns of epidemic outbreaks in complex heterogeneous networks
The continuum limit of the Kuramoto model on sparse random graphs
Moments of two-variable functions and the uniqueness of graph limits
The nonlinear heat equation on \(W\)-random graphs
The Mathematics of Infectious Diseases
The Nonlinear Heat Equation on Dense Graphs and Graph Limits
Probability and Stochastics
Analysis and Control of Epidemics: A Survey of Spreading Processes on Complex Networks
Sparse Monte Carlo Method for Nonlocal Diffusion Problems
Γ-limit of the cut functional on dense graph sequences
A multiscale model of virus pandemic: Heterogeneous interactive entities in a globally connected world
Final size and convergence rate for an epidemic in heterogeneous populations
An 𝐿^{𝑝} theory of sparse graph convergence I: Limits, sparse random graph models, and power law distributions
Graphons, cut norm and distance, couplings and rearrangements
The Semilinear Heat Equation on Sparse Random Graphs
Algorithms using local graph features to predict epidemics

This page was built for publication: On the continuum limit of epidemiological models on graphs: convergence and approximation results