no code implementations • 14 Dec 2023 • Baike She, Lei Xin, Philip E. Paré, Matthew Hale
Gaussian Process Regression excels in using small datasets and providing uncertainty bounds, and both of these properties are critical in modeling and predicting epidemic spreading processes with limited data.
no code implementations • 2 Nov 2023 • Chi Ho Leung, William E. Retnaraj, Ashish R. Hota, Philip E. Paré
Effective containment of spreading processes such as epidemics requires accurate knowledge of several key parameters that govern their dynamics.
no code implementations • 19 Jan 2023 • Baike She, Philip E. Paré, Matthew Hale
These conditions are then used to derive new conditions for the existence, uniqueness, and stability of equilibrium states.
no code implementations • 3 Sep 2022 • Baike She, Shreyas Sundaram, Philip E. Paré
Distinct from existing works on leveraging control strategies in epidemic spreading, we propose a testing strategy by overestimating the seriousness of the epidemic and study the feasibility of the system under the impact of model parameter uncertainty.
no code implementations • 23 Jul 2022 • Sebin Gracy, Philip E. Paré, Ji Liu, Henrik Sandberg, Carolyn L. Beck, Karl Henrik Johansson, Tamer Başar
We establish a sufficient condition and multiple necessary conditions for local exponential convergence to the boundary equilibrium (i. e., one virus persists, the other one dies out) of each virus.
no code implementations • 29 Sep 2021 • Baike She, Humphrey C. H. Leung, Shreyas Sundaram, Philip E. Paré
We propose an SIR epidemic model coupled with opinion dynamics to study an epidemic and opinions spreading in a network of communities.
no code implementations • 28 Sep 2021 • C. H. Leung, María E. Gibbs, Philip E. Paré
We leverage the concept of carrying capacity to account for vaccine hesitancy by defining a vaccine confidence level $\kappa$, which is the maximum number of people that will become vaccinated during the course of a disease.
no code implementations • 11 May 2021 • Lintao Ye, Philip E. Paré, Shreyas Sundaram
We study the problem of estimating the parameters (i. e., infection rate and recovery rate) governing the spread of epidemics in networks.
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.
no code implementations • 25 Feb 2021 • Baike She, Ji Liu, Shreyas Sundaram, Philip E. Paré
We propose a mathematical model to study coupled epidemic and opinion dynamics in a network of communities.