4 papers
Asymmetrically Weighted Dowker Persistence and Applications in Dynamical Systems
Tobias Timofeyev, Christopher Potvin, Benjamin Jones +3
By their nature it is difficult to differentiate chaotic dynamical systems through measurement. In recent years, work has begun on using methods of Topological Data Analysis (TDA)…
A Mathematical Model of Opinion Dynamics with Application to Vaccine Denial
Daniel Cicala, Yi Jiang, Jane HyoJin Lee +2
Public health outcomes can be heavily influenced by the landscape of public opinion; hence, it is important to understand how that landscape changes over time. For one, opinions on…
Sparse identification of epidemiological compartment models with conserved quantities
Manuchehr Aminian, Kristin M. Kurianski
We investigate the application of a framework for sparse model identification of differential equations from timeseries data in the context of compartmental models in epidemiology.…
Incorporating changeable attitudes toward vaccination into an SIR infectious disease model
Yi Jiang, Kristin M. Kurianski, Jane HyoJin Lee +3
We develop a mechanistic model that classifies individuals both in terms of epidemiological status (SIR) and vaccination attitude (willing or unwilling), with the goal of discoveri…