Title
Modeling, estimation, and analysis of epidemics over networks: An overview
Abstract
We present and discuss a variety of mathematical models that have been proposed to capture the dynamic behavior of epidemic processes. We first present traditional group models for which no underlying graph structures are assumed, thus implying that instantaneous mixing between all members of a population occurs. Then we consider models driven by similar principles, but involving non-trivial networks where spreading occurs between connected nodes. We present stability analysis results for selected models from both classes, as well as simple least squares approaches for estimating the spreading parameters of the virus from data for each basic networked model structure. We also provide some simulation models. The paper should serve as a succinct, accessible guide for systems and control research efforts toward understanding and combating COVID-19 and future pandemics.
Year
DOI
Venue
2020
10.1016/j.arcontrol.2020.09.003
Annual Reviews in Control
Keywords
DocType
Volume
Epidemic processes,Network-dependent spread,COVID-19,Parameter estimation,Stability analysis,Networked control systems,Nonlinear systems
Journal
50
ISSN
Citations 
PageRank 
1367-5788
5
0.49
References 
Authors
0
3
Name
Order
Citations
PageRank
Philip E. Paré150.49
Carolyn L. Beck240160.19
Tamer Basar33497402.11