A SIMPLE MODEL WITH PEER PRESSURE: THE ANTISOCIAL BEHAVIOR CASE
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 relaps...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | México |
| Institución: | Universidad Autónoma Metropolitana |
| Repositorio: | Redalyc-UAM |
| OAI Identifier: | oai:redalyc.org:45379179006 |
| Acceso en línea: | https://www.redalyc.org/articulo.oa?id=45379179006 |
| Access Level: | acceso abierto |
| Palabra clave: | Física, Astronomía y Matemáticas Peer presure forward bifurcation antisocial behaviors backward bifurcation |
| Sumario: | 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. |
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