Abstract:
This article reviews and presents various solved and open problems in the development, analysis, and control of epidemic models. The proper modeling and analysis of sprea...Show MoreMetadata
Abstract:
This article reviews and presents various solved and open problems in the development, analysis, and control of epidemic models. The proper modeling and analysis of spreading processes has been a long-standing area of research among many different fields, including mathematical biology, physics, computer science, engineering, economics, and the social sciences. One of the earliest epidemic models conceived was by Daniel Bernoulli in 1760, which was motivated by studying the spread of smallpox [1]. In addition to Bernoulli, there were many different researchers also working on mathematical epidemic models around this time [2]. These initial models were quite simplistic, and the further development and study of such models dates back to the 1900s [3]-[6], where still-simple models were studied to provide insight into how various diseases can spread through a population. In recent years, there has been a resurgence of interest in these problems as the concept of "networks" becomes increasingly prevalent in modeling many different aspects of the world today. A more comprehensive review of the history of mathematical epidemiology can be found in [7] and [8].
Published in: IEEE Control Systems Magazine ( Volume: 36, Issue: 1, February 2016)
University of Pennsylvania
Cameron Nowzari (cnowzari@seas.upenn.edu) received the M.S. and Ph.D. degrees in engineering sciences from the University of California, San Diego, in December 2010 and September 2013, respectively. He is currently working as a postdoctoral research associate at the University of Pennsylvania. He was a finalist for the Best Student Paper Award at the 2011 American Control Conference and received the 2012 O. Hugo Schuck Be...Show More
Cameron Nowzari (cnowzari@seas.upenn.edu) received the M.S. and Ph.D. degrees in engineering sciences from the University of California, San Diego, in December 2010 and September 2013, respectively. He is currently working as a postdoctoral research associate at the University of Pennsylvania. He was a finalist for the Best Student Paper Award at the 2011 American Control Conference and received the 2012 O. Hugo Schuck Be...View more
Electrical and Systems Engineering, Warren Center for Network and Data Sciences
Victor M. Preciado received the Ph.D. degree in electrical engineering and computer science from the Massachusetts Institute of Technology, Cambridge, in 2008. He is currently the Raj and Neera Singh Assistant Professor of Electrical and Systems Engineering at the University of Pennsylvania. He is a member of the Networked and Social Systems Engineering program and the Warren Center for Network and Data Sciences. His curr...Show More
Victor M. Preciado received the Ph.D. degree in electrical engineering and computer science from the Massachusetts Institute of Technology, Cambridge, in 2008. He is currently the Raj and Neera Singh Assistant Professor of Electrical and Systems Engineering at the University of Pennsylvania. He is a member of the Networked and Social Systems Engineering program and the Warren Center for Network and Data Sciences. His curr...View more
Electrical and Systems Engineering Department, School of Engineering and Applied Science
George J. Pappas received the Ph.D. degree in electrical engineering and computer sciences from the University of California, Berkeley, in December 1998. He is currently the Joseph Moore Professor and chair of the Electrical and Systems Engineering Department at the University of Pennsylvania. He also holds secondary appointments in the Computer and Information Sciences, and Mechanical Engineering and Applied Mechanics De...Show More
George J. Pappas received the Ph.D. degree in electrical engineering and computer sciences from the University of California, Berkeley, in December 1998. He is currently the Joseph Moore Professor and chair of the Electrical and Systems Engineering Department at the University of Pennsylvania. He also holds secondary appointments in the Computer and Information Sciences, and Mechanical Engineering and Applied Mechanics De...View more
Contents University of Pennsylvania
Cameron Nowzari (cnowzari@seas.upenn.edu) received the M.S. and Ph.D. degrees in engineering sciences from the University of California, San Diego, in December 2010 and September 2013, respectively. He is currently working as a postdoctoral research associate at the University of Pennsylvania. He was a finalist for the Best Student Paper Award at the 2011 American Control Conference and received the 2012 O. Hugo Schuck Best Paper Award in the theory category. His current research interests include dynamical systems and control, sensor networks, distributed coordination algorithms, robotics, applied computational geometry, event- and self-triggered control, Markov processes, network science, and spreading processes on networks. He can be contacted at Electrical and Systems Engineering, Moore Room 203-C, University of Pennsylvania, 200 South 33rd St., Philadelphia, PA 19104 USA.
Cameron Nowzari (cnowzari@seas.upenn.edu) received the M.S. and Ph.D. degrees in engineering sciences from the University of California, San Diego, in December 2010 and September 2013, respectively. He is currently working as a postdoctoral research associate at the University of Pennsylvania. He was a finalist for the Best Student Paper Award at the 2011 American Control Conference and received the 2012 O. Hugo Schuck Best Paper Award in the theory category. His current research interests include dynamical systems and control, sensor networks, distributed coordination algorithms, robotics, applied computational geometry, event- and self-triggered control, Markov processes, network science, and spreading processes on networks. He can be contacted at Electrical and Systems Engineering, Moore Room 203-C, University of Pennsylvania, 200 South 33rd St., Philadelphia, PA 19104 USA.View more
Electrical and Systems Engineering, Warren Center for Network and Data Sciences
Victor M. Preciado received the Ph.D. degree in electrical engineering and computer science from the Massachusetts Institute of Technology, Cambridge, in 2008. He is currently the Raj and Neera Singh Assistant Professor of Electrical and Systems Engineering at the University of Pennsylvania. He is a member of the Networked and Social Systems Engineering program and the Warren Center for Network and Data Sciences. His current research interests include network science, dynamic systems, control theory, complexity, and convex optimization with applications in social networks, technological infrastructure, and biological systems.
Victor M. Preciado received the Ph.D. degree in electrical engineering and computer science from the Massachusetts Institute of Technology, Cambridge, in 2008. He is currently the Raj and Neera Singh Assistant Professor of Electrical and Systems Engineering at the University of Pennsylvania. He is a member of the Networked and Social Systems Engineering program and the Warren Center for Network and Data Sciences. His current research interests include network science, dynamic systems, control theory, complexity, and convex optimization with applications in social networks, technological infrastructure, and biological systems.View more
Electrical and Systems Engineering Department, School of Engineering and Applied Science
George J. Pappas received the Ph.D. degree in electrical engineering and computer sciences from the University of California, Berkeley, in December 1998. He is currently the Joseph Moore Professor and chair of the Electrical and Systems Engineering Department at the University of Pennsylvania. He also holds secondary appointments in the Computer and Information Sciences, and Mechanical Engineering and Applied Mechanics Departments. He is a member of the GRASP Lab and the PRECISE Center. He currently serves as the deputy dean for research in the School of Engineering and Applied Science. His current research interests include hybrid systems and control, embedded control systems, cyberphysical systems, hierarchical and distributed control systems, networked control systems, with applications to robotics, unmanned aerial vehicles, biomolecular networks, and green buildings.
George J. Pappas received the Ph.D. degree in electrical engineering and computer sciences from the University of California, Berkeley, in December 1998. He is currently the Joseph Moore Professor and chair of the Electrical and Systems Engineering Department at the University of Pennsylvania. He also holds secondary appointments in the Computer and Information Sciences, and Mechanical Engineering and Applied Mechanics Departments. He is a member of the GRASP Lab and the PRECISE Center. He currently serves as the deputy dean for research in the School of Engineering and Applied Science. His current research interests include hybrid systems and control, embedded control systems, cyberphysical systems, hierarchical and distributed control systems, networked control systems, with applications to robotics, unmanned aerial vehicles, biomolecular networks, and green buildings.View more
