Logistic Function as a Tool of Planning

Rza̧dkowski, Grzegorz; Głażewska, Iwona; Sawińska, Katarzyna

doi:10.1515/fman-2015-0004

Cited by 5 publications

(5 citation statements)

References 10 publications

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“…For the convenience of the reader, we now briefly describe the logistic function and some of its properties, which have been proven mainly in our paper [18].…”

Section: Logistic Function and Its Derivativesmentioning

confidence: 99%

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Logistic Wavelets and Their Application to Model the Spread of COVID-19 Pandemic

Rza̧dkowski

Figlia²

2021

Applied Sciences

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In the present paper, we model the cumulative number of persons, reported to be infected with COVID-19 virus, by a sum of several logistic functions (the so-called multilogistic function). We introduce logistic wavelets and describe their properties in terms of Eulerian numbers. Moreover, we implement the logistic wavelets into Matlab’s Wavelet Toolbox and then we use the continuous wavelet transform (CWT) to estimate the parameters of the approximating multilogistic function. Using the examples of several countries, we show that this method is effective as a method of fitting a curve to existing data. However, it also has a predictive value, and, in particular, allows for an early assessment of the size of the emerging new wave of the epidemic, thus it can be used as an early warning method.

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“…For the convenience of the reader, we now briefly describe the logistic function and some of its properties, which have been proven mainly in our paper [18].…”

Section: Logistic Function and Its Derivativesmentioning

confidence: 99%

“…Now, using (18) and once again formula (15) we can calculate the integral of the admissibility condition (14) as follows:…”

Section: Wavelets Based On Higher Derivatives Of the Logistic Functionmentioning

confidence: 99%

Logistic Wavelets and Their Application to Model the Spread of COVID-19 Pandemic

Rza̧dkowski

Figlia²

2021

Applied Sciences

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“…In the article by Rządkowski, et al (2014), it is proved by using appropriate examples that for a given time series, potentially having a logistic shape, the central second differences of its terms (for the time series v t , the central second differences are defined as ∆…”

Section: Logistic Time Seriesmentioning

confidence: 99%

A Generalized Logistic Function and Its Applications

Rza̧dkowski

Sobczak

2020

Foundations of Management

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“…The covariance of the data and the correlation are computed using the equation 2 3. Using the 1, the predicted trajectory of the pandemic for each country or the whole world can be computed [15][16] [17].…”

Section: Proposed Modelmentioning

confidence: 99%

Optimistic Prediction Model for the COVID-19 Coronavirus Pandemic Based on the Reported Data Analysis

Aloufi¹

2020

Preprint

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The world is facing new challenges every day. however, with the pandemic spread over the world, a new challenge is different. The pandemic challenge is taking all the challenges to concentrate and increase in one time. Although different sectors are facing consequences, the most important sectors, health and economy are the most affected. When the pandemic start, it is not known when it will last for different health and economic planning. Therefore, it is very important for decision makers and the public to know the prediction and expectations of the future of these challenges to successfully goes over it. In this work, the current situation is analyzed. Then, an expectation model is developed based on the statistics of the pandemic using a growth rate model based on the exponential and logarithmic increase rate. Based on the available open data about the pandemic spread, the model successfully can predict the future expectations. The model expects the time and the maximum number of cases of the pandemic. The model uses the equilibrium point as the day the of cases decreases. The model can be used for planning and development of strategies to overcome the challenges.

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Logistic Function as a Tool of Planning

Cited by 5 publications

References 10 publications

Logistic Wavelets and Their Application to Model the Spread of COVID-19 Pandemic

Logistic Wavelets and Their Application to Model the Spread of COVID-19 Pandemic

A Generalized Logistic Function and Its Applications

Optimistic Prediction Model for the COVID-19 Coronavirus Pandemic Based on the Reported Data Analysis

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