A simple model with peer pressure: the antisocial behavior case

 

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون: Villavicencio-Pulido, José Geiser, Olmos-Liceaga, Daniel, Blásquez-Martínez, Lidia Ivonne
التنسيق: artículo original
الحالة:Versión publicada
تاريخ النشر:2021
الوصف: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.
البلد:Portal de Revistas UCR
المؤسسة:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
اللغة:Inglés
OAI Identifier:oai:portal.ucr.ac.cr:article/44746
الوصول للمادة أونلاين:https://revistas.ucr.ac.cr/index.php/matematica/article/view/44746
كلمة مفتاحية:peer presure
antisocial behaviors
backward bifurcation
forward bifurcation
presión social
comportamientos antisociales
bifurcación hacia atrás
bifurcación hacia adelante