A SIMPLE MODEL WITH PEER PRESSURE: THE ANTISOCIAL BEHAVIOR CASE

Antisocial behaviors such as consumption of addictive substances and eating disorders are modeled using a SIR model. We propose a function l(y(t)) that describes the relapse-recovery-recycling rate. l(y(t)) describes either strengthening or weakening of convictions of recovered individuals to relaps...

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Detalles Bibliográficos
Autores: GEISER VILLAVICENCIO-PULIDO, DANIEL OLMOS-LICEAGA, LIDIA IVONNE BLÁSQUEZ-MARTÍNEZ
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:México
Institución:Universidad Autónoma Metropolitana
Repositorio:Redalyc-UAM
OAI Identifier:oai:redalyc.org:45379179006
Acceso en línea:https://www.redalyc.org/articulo.oa?id=45379179006
Access Level:acceso abierto
Palabra clave:Física, Astronomía y Matemáticas
Peer presure
forward bifurcation
antisocial behaviors
backward bifurcation
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oai_identifier_str oai:redalyc.org:45379179006
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spelling A SIMPLE MODEL WITH PEER PRESSURE: THE ANTISOCIAL BEHAVIOR CASEGEISER VILLAVICENCIO-PULIDODANIEL OLMOS-LICEAGALIDIA IVONNE BLÁSQUEZ-MARTÍNEZFísica, Astronomía y MatemáticasPeer presureforward bifurcationantisocial behaviorsbackward bifurcationAntisocial behaviors such as consumption of addictive substances and eating disorders are modeled using a SIR model. We propose a function l(y(t)) that describes the relapse-recovery-recycling rate. l(y(t)) describes either strengthening or weakening of convictions of recovered individuals to relapse in antisocial behaviors. We show that a wide variety of functions can induce the existence of multiple equilibria points for R0 < 1 which is a catastrophic scenario for the susceptible population. Finally, conditions for avoiding a sudden and catastrophic jump in the number of individuals with antisocial behaviors are given.Universidad de Costa Rica2021info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdf1409-2433https://www.redalyc.org/articulo.oa?id=45379179006Revista de Matemática: Teoría y Aplicaciones (Costa Rica) Num.2 Vol.28reponame:Redalyc-UAMinstname:Universidad Autónoma Metropolitanainstacron:UAMenhttp://www.redalyc.org/revista.oa?id=453Revista de Matemática: Teoría y Aplicacionesinfo:eu-repo/semantics/openAccessoai:redalyc.org:453791790062025-03-05T19:09:04Z
dc.title.none.fl_str_mv A SIMPLE MODEL WITH PEER PRESSURE: THE ANTISOCIAL BEHAVIOR CASE
title A SIMPLE MODEL WITH PEER PRESSURE: THE ANTISOCIAL BEHAVIOR CASE
spellingShingle A SIMPLE MODEL WITH PEER PRESSURE: THE ANTISOCIAL BEHAVIOR CASE
GEISER VILLAVICENCIO-PULIDO
Física, Astronomía y Matemáticas
Peer presure
forward bifurcation
antisocial behaviors
backward bifurcation
title_short A SIMPLE MODEL WITH PEER PRESSURE: THE ANTISOCIAL BEHAVIOR CASE
title_full A SIMPLE MODEL WITH PEER PRESSURE: THE ANTISOCIAL BEHAVIOR CASE
title_fullStr A SIMPLE MODEL WITH PEER PRESSURE: THE ANTISOCIAL BEHAVIOR CASE
title_full_unstemmed A SIMPLE MODEL WITH PEER PRESSURE: THE ANTISOCIAL BEHAVIOR CASE
title_sort A SIMPLE MODEL WITH PEER PRESSURE: THE ANTISOCIAL BEHAVIOR CASE
dc.creator.none.fl_str_mv GEISER VILLAVICENCIO-PULIDO
DANIEL OLMOS-LICEAGA
LIDIA IVONNE BLÁSQUEZ-MARTÍNEZ
author GEISER VILLAVICENCIO-PULIDO
author_facet GEISER VILLAVICENCIO-PULIDO
DANIEL OLMOS-LICEAGA
LIDIA IVONNE BLÁSQUEZ-MARTÍNEZ
author_role author
author2 DANIEL OLMOS-LICEAGA
LIDIA IVONNE BLÁSQUEZ-MARTÍNEZ
author2_role author
author
dc.subject.none.fl_str_mv Física, Astronomía y Matemáticas
Peer presure
forward bifurcation
antisocial behaviors
backward bifurcation
topic Física, Astronomía y Matemáticas
Peer presure
forward bifurcation
antisocial behaviors
backward bifurcation
description Antisocial behaviors such as consumption of addictive substances and eating disorders are modeled using a SIR model. We propose a function l(y(t)) that describes the relapse-recovery-recycling rate. l(y(t)) describes either strengthening or weakening of convictions of recovered individuals to relapse in antisocial behaviors. We show that a wide variety of functions can induce the existence of multiple equilibria points for R0 < 1 which is a catastrophic scenario for the susceptible population. Finally, conditions for avoiding a sudden and catastrophic jump in the number of individuals with antisocial behaviors are given.
publishDate 2021
dc.date.none.fl_str_mv 2021
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv 1409-2433
https://www.redalyc.org/articulo.oa?id=45379179006
identifier_str_mv 1409-2433
url https://www.redalyc.org/articulo.oa?id=45379179006
dc.language.none.fl_str_mv en
language_invalid_str_mv en
dc.relation.none.fl_str_mv http://www.redalyc.org/revista.oa?id=453
dc.rights.none.fl_str_mv Revista de Matemática: Teoría y Aplicaciones
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Revista de Matemática: Teoría y Aplicaciones
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidad de Costa Rica
publisher.none.fl_str_mv Universidad de Costa Rica
dc.source.none.fl_str_mv Revista de Matemática: Teoría y Aplicaciones (Costa Rica) Num.2 Vol.28
reponame:Redalyc-UAM
instname:Universidad Autónoma Metropolitana
instacron:UAM
instname_str Universidad Autónoma Metropolitana
instacron_str UAM
institution UAM
reponame_str Redalyc-UAM
collection Redalyc-UAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.812429

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