15 citations · 27 across the 7 of their papers we have counts for
Showing math.DSShow all
3 papers · 1 filter
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.DS2013
Speeding Up Network Simulations Using Discrete Time
Aaron Lucas, Benjamin Armbruster
We develop a way of simulating disease spread in networks faster at the cost of some accuracy. Instead of a discrete event simulation (DES) we use a discrete time simulation. This…