Scale-invariance underlying the logistic equation and its social applications

On the basis of dynamical principles we i) advance a derivation of the Logistic Equation (LE), widely employed (among multiple applications) in the simulation of population growth, and ii) demonstrate that scale-invariance and a mean-value constraint are sufficient and necessary conditions for obtai...

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Detalles Bibliográficos
Autores principales: Hernando de Castro, Alberto, Plastino, Ángel Luis
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2012
Materias:
Física
Logistic equation
Scale-invariance
Social system
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/97226
https://ri.conicet.gov.ar/11336/23413
https://arxiv.org/abs/1204.2422
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-97226
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Logistic equation
Scale-invariance
Social system
spellingShingle Física
Logistic equation
Scale-invariance
Social system
Hernando de Castro, Alberto
Plastino, Ángel Luis
Scale-invariance underlying the logistic equation and its social applications
topic_facet Física
Logistic equation
Scale-invariance
Social system
description On the basis of dynamical principles we i) advance a derivation of the Logistic Equation (LE), widely employed (among multiple applications) in the simulation of population growth, and ii) demonstrate that scale-invariance and a mean-value constraint are sufficient and necessary conditions for obtaining it. We also generalize the LE to multi-component systems and show that the above dynamical mechanisms underlie a large number of scale-free processes. Examples are presented regarding city-populations, diffusion in complex networks, and popularity of technological products, all of them obeying the multi-component logistic equation in an either stochastic or deterministic way.
format Articulo
Preprint
author Hernando de Castro, Alberto
Plastino, Ángel Luis
author_facet Hernando de Castro, Alberto
Plastino, Ángel Luis
author_sort Hernando de Castro, Alberto
title Scale-invariance underlying the logistic equation and its social applications
title_short Scale-invariance underlying the logistic equation and its social applications
title_full Scale-invariance underlying the logistic equation and its social applications
title_fullStr Scale-invariance underlying the logistic equation and its social applications
title_full_unstemmed Scale-invariance underlying the logistic equation and its social applications
title_sort scale-invariance underlying the logistic equation and its social applications
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/97226
https://ri.conicet.gov.ar/11336/23413
https://arxiv.org/abs/1204.2422
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AT plastinoangelluis scaleinvarianceunderlyingthelogisticequationanditssocialapplications
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