Analysis of non-equilibrium fluctuations in a number of COVID-19 cases and deaths based on time-convolutionless projection-operator method
Abstract
The non-equilibrium fluctuations observed in a number of COVID-19 cases and deaths are analyzed from a statistical-dynamical point view. By investigating the data observed around the world which were collected from January 15, 2020 to April 28, 2023 at https://coronavirus.jhu.edu/, we first show that the dynamics of the fluctuations is described by a stochastic equation whose stochastic force is a multiplicative type. By employing the time-convolutionless projection-operator method in open systems previously proposed by the present author, we then transform it into a Langevin-type equation with an additive-type stochastic force together with the corresponding Fokker-Planck type equation. Thus, we explore the stochastic properties of a Langevin-type stochastic force not only analytically but also numerically from a unified point of view. Finally, we emphasize that the dynamical behavior in deaths resembles that in cases very much not only for the causal motion but also for the fluctuation.
Keywords
Cite
@article{arxiv.2406.05611,
title = {Analysis of non-equilibrium fluctuations in a number of COVID-19 cases and deaths based on time-convolutionless projection-operator method},
author = {Michio Tokuyama},
journal= {arXiv preprint arXiv:2406.05611},
year = {2024}
}
Comments
18 pages, 27 figures