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math.OC2020
Analysis and Estimation of Networked SIR & SEIR Models with Transportation Networks
Damir Vrabac, Raphael Stern, Philip E. Paré
In this paper we present the discrete-time networked SIR and SEIR models and present assumptions under which they are well defined. We analyze the limiting behavior of the models a…
math.OC2020★ 2 cited
Edge Deletion Algorithms for Minimizing Spread in SIR Epidemic Models
Yuhao Yi, Liren Shan, Philip E. Paré +1
This paper studies algorithmic strategies to effectively reduce the number of infections in susceptible-infected-recovered (SIR) epidemic models. We consider a Markov chain SIR mod…
math.OC2020
Controlling a Networked SIS Model via a Single Input over Undirected Graphs
Dan Wang, Ji Liu, Philip E. Paré +4
This paper formulates and studies the problem of controlling a networked SIS model using a single input in which the network structure is described by a connected undirected graph.…