Abstract
This talk will focus on the interplay between epidemic dynamics and human decision making for epidemic models that involve reinfection risk; in particular, the susceptible-infected-susceptible (SIS) and the susceptible-infected-recovered-infected (SIRI) epidemic models. In the proposed game-theoretic setting, individuals choose whether to adopt protection or not based on the trade-off between the cost of adopting protection and the risk of infection; the latter depends on the current prevalence of the epidemic and the fraction of individuals who adopt protection in the entire population. The individual protection adoption behavior is modeled using the replicator dynamics. For the SIS epidemic, the equilibria and their stability properties are fully characterized. The coupled dynamics are further analyzed under timescale separation when individual behavior evolves faster than the epidemic, and the behavior of the resulting non-smooth hybrid dynamical system for both SIS and SIRI models are discussed.
Biography
Vaibhav Srivastava received the B.Tech. degree (2007) in mechanical engineering from the Indian Institute of Technology Bombay, Mumbai, India; the M.S. degree in mechanical engineering (2011), the M.A. degree in statistics (2012), and the Ph.D. degree in mechanical engineering (2012) from the University of California at Santa Barbara, Santa Barbara, CA.
Dr Srivastava is currently an Associate Professor with the Electrical and Computer Engineering, Michigan State University. He is also affiliated with Mechanical Engineering, Cognitive Science Program, and Connected and Autonomous Networked Vehicles for Active Safety (CANVAS). He served as a Lecturer and Associate Research Scholar with the Mechanical and Aerospace Engineering Department, Princeton University, Princeton, NJ from 2013-2016. He serves as a guest associate editor for IEEE Open Journal of Control Systems, and an associate editor for ASME Journal of Dynamic Systems, Measurement, and Control. He serves on the IEEE Control System Society conference editorial board since 2018. He received the best paper award (as coauthor) at the 2014 European Control Conference. His research focuses on Cyber Physical Human Systems with emphasis on mixed human-robot systems, networked multi-agent systems, aerial robotics, and connected and autonomous vehicles.
