15 citations · 27 across the 7 of their papers we have counts for
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math.DS2015★ 2 cited
Elementary proof of convergence to the mean-field model for the SIR process
Ekkehard Beck, Benjamin Armbruster
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 equ…
math.DS2015
Bounds for the expected value of one-step processes
Benjamin Armbruster, Ádám Besenyei, Péter L. Simon
Mean-field models are often used to approximate Markov processes with large state-spaces. One-step processes, also known as birth-death processes, are an important class of such pr…
math.PR2015★ 15 cited
An elementary proof of convergence to the mean-field equations for an epidemic model
Benjamin Armbruster, Ekkehard Beck
It is common to use a compartmental, fluid model described by a system of ordinary differential equations (ODEs) to model disease spread. In addition to their simplicity, these mod…