55 citations · 75 across the 6 of their papers we have counts for
7 papers
A look at endemic equilibria of compartmental epidemiological models and model control via vaccination and mitigation
Monique Chyba, Taylor Klotz, Yuriy Mileyko +1
Compartmental models have long served as important tools in mathematical epidemiology, with their usefulness highlighted by the recent COVID-19 pandemic. However, most of the class…
A study of computational and conceptual complexities of compartment and agent based models
Prateek Kunwar, Oleksandr Markovichenko, Monique Chyba +3
The ongoing COVID-19 pandemic highlights the essential role of mathematical models in understanding the spread of the virus along with a quantifiable and science-based prediction o…
COVID-19 Heterogeneity in Islands Chain Environment
Monique Chyba, Alice Koniges, Prateek Kunwar +3
As 2021 dawns, the COVID-19 pandemic is still raging strongly as vaccines finally appear and hopes for a return to normalcy start to materialize. There is much to be learned from t…
Another look at recovering local homology from samples of stratified sets
Yuriy Mileyko
Recovering homological features of spaces from samples has become one of the central themes of topological data analysis, leading to many successful applications. Many of the resul…
Typical representatives of free homotopy classes in a multi-punctured plane
Maxim Arnold, Yuliy Baryshnikov, Yuriy Mileyko
We show that a uniform probability measure supported on a specific set of piecewise linear loops in a non-trivial free homotopy class in a multi-punctured plane is overwhelmingly c…
Fréchet Means for Distributions of Persistence diagrams
Katharine Turner, Yuriy Mileyko, Sayan Mukherjee +1
Given a distribution on persistence diagrams and observations we introduce an algorithm in this paper that estimates a Fréchet mean from the…
Hierarchical ordering of reticular networks
Yuriy Mileyko, Herbert Edelsbrunner, Charles A. Price +1
The structure of hierarchical networks in biological and physical systems has long been characterized using the Horton-Strahler ordering scheme. The scheme assigns an integer order…