# A Logistic Curve in the SIR Model and Its Application to Deaths by COVID-19 in Japan

@article{Shigemoto2020ALC, title={A Logistic Curve in the SIR Model and Its Application to Deaths by COVID-19 in Japan}, author={Kazuyasu Shigemoto and T. Saito}, journal={medRxiv}, year={2020} }

Approximate solutions of SIR equations are given, ased on a logistic growth curve in the Biology. These solutions are applied to fix the basic reproduction number $alpha$ and the removed ratio $c$, especially from data of accumulated number of deaths in Japan COVID-19. We then discuss the end of the epidemic. These logistic curve results are compared with the exact results of the SIR model. }

## 9 Citations

An Application of Logistic Formula to Deaths by COVID-19 in Japan

- MathematicsmedRxiv
- 2020

A logistic formula in biology is applied to analyze deaths by COVID-19 for both of the first and the second waves in Japan, and the meaning of population N in an epidemic is discussed.

A Logistic Formula in Biology and Its Application to Deaths by the Third Wave of COVID-19 in Japan

- Business, MathematicsmedRxiv
- 2021

A logistic formula in biology is applied to analyze the third wave of COVID-19 in Japan and shows good results in terms of predictability and efficiency.

Logistic Formula in Biology and Its Application to COVID-19 in Japan

- BusinessmedRxiv
- 2021

A logistic formula in biology is applied, as the first principle, to analyze the second and third waves of COVID=19 in Japan.

Variants of SARS-COV-2 and the Death Toll

- Political SciencemedRxiv
- 2021

Why the number of deaths in SARS-COV-2 is so small, compared with high cases, around the infection peak, when the basic reproduction number is very large is considered.

SEIRDQ: A COVID-19 case projection modeling framework using ANN to model quarantine

- Computer SciencemedRxiv
- 2021

A novel approach to model the evolution of CO VID-19 pandemic and predict the daily COVID-19 cases by adding additional compartments to capture recovered, dead and quarantined cases using an Artificial Neural Network.

Fractional-Order Logistic Differential Equation with Mittag–Leffler-Type Kernel

- MathematicsFractal and Fractional
- 2021

In this paper, we consider the Prabhakar fractional logistic differential equation. By using appropriate limit relations, we recover some other logistic differential equations, giving representations…

Power series solution of the fractional logistic equation

- MathematicsPhysica A: Statistical Mechanics and its Applications
- 2021

Fractional Euler numbers and generalized proportional fractional logistic differential equation

- MathematicsFractional calculus & applied analysis
- 2022

We solve a logistic differential equation for generalized proportional Caputo fractional derivative. The solution is found as a fractional power series. The coefficients of that power series are…

Solution of a fractional logistic ordinary differential equation

- MathematicsAppl. Math. Lett.
- 2022

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