Resumo

VILLAVICENCIO-PULIDO, Geiser; OLMOS-LICEAGA, Daniel  e  BLASQUEZ-MARTINEZ, Lidia Ivonne. A simple model with peer pressure: the antisocial behavior case. Rev. Mat [online]. 2021, vol.28, n.2, pp.279-294. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v28i2.44746.

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.

Palavras-chave : peer presure; antisocial behaviors; backward bifurcation; forward bifurcation..

        · resumo em Espanhol     · texto em Inglês     · Inglês ( pdf )