Preprint / Version 10

A Mathematical model for the Pattern of COVID-19 Post-Vaccination Mortality

##article.authors##

  • Takashi Nakamura Institute of Liberal Arts and Sciences, Tokyo University of Science

DOI:

https://doi.org/10.51094/jxiv.352

Keywords:

Erlang distribution, Model for the pattern of COVID-19 post-vaccination mortality

Abstract

In this article, we give a mathematical model for the pattern of post-vaccination mortality by using the Erlang distribution. This model is an analogue or generalization of Kiyoshi Ito's argument which describes radioactive decay.

Conflicts of Interest Disclosure

The authors have no conflicts of interest directly relevant to the content of this article.

Downloads *Displays the aggregated results up to the previous day.

Download data is not yet available.

References

P. Billingsley, Probability and Measure, Third Edition (Wiley Series in Probability and Statistics),

, John Wiley & Sons Inc.

J. Y. Cho, K. H. Kim, N. Lee, S. H. Cho, S. Y. Kim, E. K. Kim, J.-H. Park, E.-Y. Choi, J.-O. Choi,

H. Park, H. Y. Kim, H. J. Yoon, Y. Ahn, M. H. Jeong, and J. G. Cho, COVID-19 vaccination-related

myocarditis: a Korean nationwide study, European Heart Journal, ehad339.

M. Ezekiel, Methods of Correlation Analysis, New York: John Wiley and Sons. 1930.

M. Fukushima, Y. Hirai, E. Nakatani, and T. Nishimura, Overview of COVID-19 post-vaccination

mortality and pharmacoepidemiological evaluation: nation-wide view and a proposal, Clinical Evaluation.

; 49 (3): 499–517.

M. Fukushima, T. Kikuchi, and Y. Hirai, Warnings and Requests to Coronavirus Vaccine Recipients

and All Healthcare Providers –Based on the case of a healthy 28-year-old man who died suddenly

of myocardial rhabdomyolysis 5 days after vaccination with the novel coronavirus vaccine, Clinical

Evaluation. 2023; 50 (4): 507–542.

N. Hulscher, P. E. Alexander, R. Amerling, H. Gessling, R. Hodkinson, W. Makis, H. A. Risch,

M. Trozzi, and P. A. McCullough, A Systematic Review of Autopsy Findings in Deaths after COVID-

Vaccination, https://doi.org/10.5281/zenodo.8120771

K. Itˆo, [Probability theory and I], Kakuritsuron to watashi (in Japanese), Iwanami Shoten, Publishers,

(2010/9/15), ISBN 9784000052085.

J. P. Klein and M. L. Moeschberger, Survival Analysis–Techniques for Censored and Truncated Data,

nd Edition. 2003, Springer Publishers, New York.

A. Knudson, Mutation and cancer: statistical study of retinoblastoma, Proc Natl Acad Sci USA. 68

(4): 820–823.

M. Martcheva, An introduction to mathematical epidemiology. Texts Appl. Math., 61 Springer, New

York, 2015.

H. Nushida, A. Ito, H. Kurata, H. Umemoto, I. Tokunaga, H. Iseki, and A. Nishimura, A case of

fatal multi-organ inflammation following COVID-19 vaccination, Legal Medicine, Volume 63, July

, 102244.

H. G. Rosenblum, J. Gee, R. Liu, P. L. Marquez, B. Zhang, P. Strid, W. E. Abara, M. M. McNeil,

T. R. Myers, A. M. Hause, J. R. Su, L. E. Markowitz, T. T. Shimabukuro, and D. K. Shay. Safety of

mRNA vaccines administered during the initial 6 months of the US COVID-19 vaccination programme:

an observational study of reports to the Vaccine Adverse Event Reporting System and v-safe. Lancet

Infect Dis. 2022 Jun;22(6) : 802–812.

A. Sourmelidis and J. Steuding, Spirals of Riemann’s zeta-function–curvature, denseness and universality.

Math. Proc. Cambridge Philos. Soc.176 (2024), no. 2, 325–338.

J. Steuding, Value-distribution of L-functions. Lecture Notes in Math., 1877 Springer, Berlin, 2007.

W. Weibull, A statistical theory of the strength of materials. R Swedish Inst Eng Res. (1939) 151:

–45.

E. T. Whittaker and G. N. Watson, A Course of Modern Analysis, Fourth Edition (Cambridge

Mathematical Library), 1927, Cambridge University press.

Downloads

Posted


Submitted: 2023-04-05 05:03:56 UTC

Published: 2023-04-06 02:49:10 UTC — Updated on 2024-05-27 09:59:41 UTC

Versions

Reason(s) for revision

Some sentences are added in Section 4. Section 5 is added. Some references are added and replaced.
Section
Biology, Life Sciences & Basic Medicine