Open AccessA simple model with peer pressure: the antisocial behavior case
Author(s) -
José Geiser Villavicencio-Pulido,
Daniel OlmosLiceaga,
Lidia Ivonne Blásquez-Martínez
Publication year - 2021
Publication title -
revista de matemáticas
Language(s) - English
Resource type - Journals
eISSN - 2215-3373
pISSN - 1409-2433
DOI - 10.15517/rmta.v28i2.44746
Subject(s) - peer pressure , psychology , simple (philosophy) , population , addiction , variety (cybernetics) , function (biology) , jump , developmental psychology , social psychology , computer science , medicine , psychiatry , environmental health , artificial intelligence , physics , biology , philosophy , epistemology , quantum mechanics , evolutionary biology
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.