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Revista de Matemática Teoría y Aplicaciones

Print version ISSN 1409-2433


VILLAVICENCIO-PULIDO, Geiser; OLMOS-LICEAGA, Daniel  and  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.

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.

Keywords : peer presure; antisocial behaviors; backward bifurcation; forward bifurcation..

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