A simple model with peer pressure: the antisocial behavior case

 

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Egileak: Villavicencio-Pulido, José Geiser, Olmos-Liceaga, Daniel, Blásquez-Martínez, Lidia Ivonne
Formatua: artículo original
Egoera:Versión publicada
Argitaratze data:2021
Deskribapena: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.
Herria:Portal de Revistas UCR
Erakundea:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Hizkuntza:Inglés
OAI Identifier:oai:archivo.portal.ucr.ac.cr:article/44746
Sarrera elektronikoa:https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/44746
Gako-hitza:peer presure
antisocial behaviors
backward bifurcation
forward bifurcation
presión social
comportamientos antisociales
bifurcación hacia atrás
bifurcación hacia adelante