no code implementations • 21 Oct 2023 • Grzegorz A. Rempala
This brief note highlights a largely overlooked similarity between the SIR ordinary differential equations used for epidemics on the configuration model of a Poisson network and the classical mass-action SIR equations introduced nearly a century ago by Kermack and McKendrick.
no code implementations • 16 Aug 2022 • Istvan Z. Kiss, Eben Kenah, Grzegorz A. Rempala
We prove that the exact closure of SIR pairwise epidemic equations on a configuration model network is possible if and only if the degree distribution is Poisson, Binomial, or Negative Binomial.
no code implementations • 31 Jul 2022 • Colin Klaus, Matthew Wascher, Wasiur R. KhudaBukhsh, Grzegorz A. Rempala
The Dynamical Survival Analysis (DSA) is a framework for modeling epidemics based on mean field dynamics applied to individual (agent) level history of infection and recovery.
1 code implementation • 21 Feb 2022 • Francesco Di Lauro, Wasiur R. KhudaBukhsh, Istvan Z. Kiss, Eben Kenah, Max Jensen, Grzegorz A. Rempala
We present a new method for analyzing stochastic epidemic models under minimal assumptions.
1 code implementation • 5 Apr 2021 • Saumya Yashmohini Sahai, Saket Gurukar, Wasiur R. KhudaBukhsh, Srinivasan Parthasarathy, Grzegorz A. Rempala
Due to delay in reporting, the daily national and statewide COVID-19 incidence counts are often unreliable and need to be estimated from recent data.
1 code implementation • 1 Jul 2020 • Wasiur R. KhudaBukhsh, Hye-Won Kang, Eben Kenah, Grzegorz A. Rempala
We show how the limiting PDE system can be used for the purpose of further model reductions and for devising efficient simulation algorithms.
Populations and Evolution 92B05
1 code implementation • 5 Nov 2018 • Alexandria Volkening, Daniel F. Linder, Mason A. Porter, Grzegorz A. Rempala
To shed light on this process, we develop a method for forecasting elections from the perspective of dynamical systems.
Physics and Society Social and Information Networks Dynamical Systems Adaptation and Self-Organizing Systems Populations and Evolution