Elementary proof of convergence to the mean-field model for the SIR process

Abstract

The susceptible-infected-recovered (SIR) model has been used extensively to model disease spread and other processes. Despite the widespread usage of this ordinary differential equation (ODE) based model which represents the mean-field approximation of the underlying stochastic SIR process on contact networks, only few rigorous approaches exist and these… (More)
DOI: 10.1007/s00285-016-1086-1

Topics

2 Figures and Tables

Cite this paper

@article{Beck2017ElementaryPO, title={Elementary proof of convergence to the mean-field model for the SIR process}, author={Ekkehard Beck and Benjamin Armbruster}, journal={Journal of mathematical biology}, year={2017}, volume={75 2}, pages={327-339} }