On the Analysis of a Continuous-Time Bi-Virus Model
Ji Liu, Philip E. Par\'e, Angelia Nedi\'c, Choon Yik Tang, Carolyn L., Beck, and Tamer Ba\c{s}ar
TL;DR
This paper analyzes a continuous-time bi-virus model for social opinion spread, providing stability insights, sensitivity analysis of equilibria, and an impossibility result for distributed control strategies.
Contribution
It offers a comprehensive stability analysis for more general bi-virus models and explores control limitations in distributed feedback scenarios.
Findings
Stability conditions for healthy and epidemic states
Sensitivity properties of nontrivial equilibria
Impossibility result for distributed feedback control
Abstract
Motivated by the spread of opinions on different social networks, we study a distributed continuous-time bi-virus model for a system of groups of individuals. An in-depth stability analysis is performed for more general models than have been previously considered, for the healthy and epidemic states. In addition, we investigate sensitivity properties of some nontrivial equilibria and obtain an impossibility result for distributed feedback control.
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Taxonomy
TopicsOpinion Dynamics and Social Influence · Mathematical and Theoretical Epidemiology and Ecology Models · Complex Network Analysis Techniques