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| Format: | Preprint |
| Published: |
2024
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| Online Access: | https://arxiv.org/abs/2406.05611 |
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| _version_ | 1866914830501281792 |
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| author | Tokuyama, Michio |
| author_facet | Tokuyama, Michio |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05611 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analysis of non-equilibrium fluctuations in a number of COVID-19 cases and deaths based on time-convolutionless projection-operator method Tokuyama, Michio Biological Physics Physics and Society 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. |
| title | Analysis of non-equilibrium fluctuations in a number of COVID-19 cases and deaths based on time-convolutionless projection-operator method |
| topic | Biological Physics Physics and Society |
| url | https://arxiv.org/abs/2406.05611 |