Analysis, Control, and State Estimation for the Networked Competitive Multi-Virus SIR Model

no code implementations • 15 May 2023 • Ciyuan Zhang, Sebin Gracy, Tamer Basar, Philip E. Pare

Second, we propose an observation model which captures the summation of all the viruses' infection levels in each node, which represents the individuals who are infected by different viruses but share similar symptoms.

A Networked Competitive Multi-Virus SIR Model: Analysis and Observability

no code implementations • 1 Apr 2022 • Ciyuan Zhang, Sebin Gracy, Tamer Basar, Philip E. Pare

This paper proposes a novel discrete-time multi-virus SIR (susceptible-infected-recovered) model that captures the spread of competing SIR epidemics over a population network.

The Effect of Population Flow on Epidemic Spread: Analysis and Control

no code implementations • 15 Apr 2021 • Brooks Butler, Ciyuan Zhang, Ian Walter, Nishant Nair, Raphael Stern, Philip E. Paré

We show that the set of healthy states is asymptotically stable, and that the value of the equilibria becomes equal across all sub-populations as a result of the network flow model.

Estimation and Distributed Eradication of SIR Epidemics on Networks

no code implementations • 24 Feb 2021 • Ciyuan Zhang, Humphrey Leung, Brooks Butler, Philip. E. Paré

We provide a sufficient condition for the SIR model to converge to the set of healthy states exponentially.