A Generalized Logistic Function and Its Applications

In the present article, we deal with a generalization of the logistic function. Starting from the Riccati differential equation with constant coefficients, we find its analytical form and describe basic properties. Then we use the generalized logistic function for modeling some economic phenomena.

Bibliographic Details
Main Authors: Rządkowski Grzegorz, Sobczak Lidia
Format: Article
Language:English
Published: Sciendo 2020-04-01
Series:Foundations of Management
Subjects:
c53
Online Access:https://doi.org/10.2478/fman-2020-0007
id doaj-e723e031a0b84831a36ab9febd1a4c19
record_format Article
spelling doaj-e723e031a0b84831a36ab9febd1a4c192021-09-05T21:00:59ZengSciendoFoundations of Management2300-56612020-04-01121859210.2478/fman-2020-0007fman-2020-0007A Generalized Logistic Function and Its ApplicationsRządkowski Grzegorz0Sobczak Lidia1Warsaw University of Technology, Faculty of Management, Warsaw, POLANDWarsaw University of Technology, Faculty of Management, Warsaw, POLANDIn the present article, we deal with a generalization of the logistic function. Starting from the Riccati differential equation with constant coefficients, we find its analytical form and describe basic properties. Then we use the generalized logistic function for modeling some economic phenomena.https://doi.org/10.2478/fman-2020-0007generalized logistic functiontime seriesapplicationsc53
collection DOAJ
language English
format Article
sources DOAJ
author Rządkowski Grzegorz
Sobczak Lidia
spellingShingle Rządkowski Grzegorz
Sobczak Lidia
A Generalized Logistic Function and Its Applications
Foundations of Management
generalized logistic function
time series
applications
c53
author_facet Rządkowski Grzegorz
Sobczak Lidia
author_sort Rządkowski Grzegorz
title A Generalized Logistic Function and Its Applications
title_short A Generalized Logistic Function and Its Applications
title_full A Generalized Logistic Function and Its Applications
title_fullStr A Generalized Logistic Function and Its Applications
title_full_unstemmed A Generalized Logistic Function and Its Applications
title_sort generalized logistic function and its applications
publisher Sciendo
series Foundations of Management
issn 2300-5661
publishDate 2020-04-01
description In the present article, we deal with a generalization of the logistic function. Starting from the Riccati differential equation with constant coefficients, we find its analytical form and describe basic properties. Then we use the generalized logistic function for modeling some economic phenomena.
topic generalized logistic function
time series
applications
c53
url https://doi.org/10.2478/fman-2020-0007
work_keys_str_mv AT rzadkowskigrzegorz ageneralizedlogisticfunctionanditsapplications
AT sobczaklidia ageneralizedlogisticfunctionanditsapplications
AT rzadkowskigrzegorz generalizedlogisticfunctionanditsapplications
AT sobczaklidia generalizedlogisticfunctionanditsapplications
_version_ 1717781887915655168