Palabras clave
antisocial behaviors
backward bifurcation
forward bifurcation
presión social
comportamientos antisociales
bifurcación hacia atrás
bifurcación hacia adelante
Cómo citar
Resumen
Comportamientos antisociales tales como consumo de sustancias adictivas y desordenes de la alimentación son modelados usando un modelo SIR. Proponemos una función l(y(t)) que describe la tasa de reciclamiento recuperación-recaída. l(y(t)) describe ya sea el fortalecimiento o debilitamiento de la convicción de los individuos a recaer en conductas antisociales. Mostramos que una amplia variedad de funciones puede inducir la existencia de múltiples puntos de equilibrio para R0 < 1, lo que constituye un escenario catastrófico para la población susceptible. Finalmente, se dan condiciones para evitar un aumento repentino y catastrófico en el número de individuos con comportamientos antisociales.
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Derechos de autor 2021 José Geiser Villavicencio-Pulido, Daniel Olmos-Liceaga, Lidia Ivonne Blásquez-Martínez