Raves, clubs and ecstasy: the impact of peer pressure

Ecstasy has gained popularity among young adults who frequent raves and nightclubs. The Drug Enforcement Administration reported a 500 percent increase in the use of ecstasy between 1993 and 1998. The number of ecstasy users kept growing until 2002, years after a national public education initiative...

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Main Authors: Baojun Song, Melissa Castillo-Garsow, Karen R. Ríos-Soto, Marcin Mejran, Leilani Henso, Carlos Castillo-Chavez
Format: Article
Language:English
Published: AIMS Press 2005-10-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.249
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author Baojun Song
Melissa Castillo-Garsow
Karen R. Ríos-Soto
Marcin Mejran
Leilani Henso
Carlos Castillo-Chavez
author_facet Baojun Song
Melissa Castillo-Garsow
Karen R. Ríos-Soto
Marcin Mejran
Leilani Henso
Carlos Castillo-Chavez
author_sort Baojun Song
collection DOAJ
description Ecstasy has gained popularity among young adults who frequent raves and nightclubs. The Drug Enforcement Administration reported a 500 percent increase in the use of ecstasy between 1993 and 1998. The number of ecstasy users kept growing until 2002, years after a national public education initiative against ecstasy use was launched. In this study, a system of differential equations is used to model the peer-driven dynamics of ecstasy use. It is found that backward bifurcations describe situations when sufficient peer pressure can cause an epidemic of ecstasy use. Furthermore, factors that have the greatest influence on ecstasy use as predicted by the model are highlighted. The effect of education is also explored, and the results of simulations are shown to illustrate some possible outcomes.
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publishDate 2005-10-01
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series Mathematical Biosciences and Engineering
spelling doaj-art-fe4cb8b8792c4eb6b52d928b7b3f764f2025-01-24T01:51:12ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-10-013124926610.3934/mbe.2006.3.249Raves, clubs and ecstasy: the impact of peer pressureBaojun Song0Melissa Castillo-Garsow1Karen R. Ríos-Soto2Marcin Mejran3Leilani Henso4Carlos Castillo-Chavez5Department of Mathematical Sciences, Montclair State University, Upper Montclair, NJ 07043American Studies & African American Studies, Graduate Affiliate, Ethnicity, Race & Migration Program, Yale University, New Haven, CT 06520Department of Biological Statistics and Computational Biology, Cornell University, Ithaca, NY 14850Department of Mathematics and Computer Science, Stanford University, Stanford, CA 94309Department of Mathematics, Howard University, Washignton DC, 20059Mathematics, Computational and Modeling Sciences Center, Arizona State University, PO Box 871904, Tempe, AZ 85287Ecstasy has gained popularity among young adults who frequent raves and nightclubs. The Drug Enforcement Administration reported a 500 percent increase in the use of ecstasy between 1993 and 1998. The number of ecstasy users kept growing until 2002, years after a national public education initiative against ecstasy use was launched. In this study, a system of differential equations is used to model the peer-driven dynamics of ecstasy use. It is found that backward bifurcations describe situations when sufficient peer pressure can cause an epidemic of ecstasy use. Furthermore, factors that have the greatest influence on ecstasy use as predicted by the model are highlighted. The effect of education is also explored, and the results of simulations are shown to illustrate some possible outcomes.https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.249drug abusedynamical modelsglobal dynamicspeer pressurebifurcation.
spellingShingle Baojun Song
Melissa Castillo-Garsow
Karen R. Ríos-Soto
Marcin Mejran
Leilani Henso
Carlos Castillo-Chavez
Raves, clubs and ecstasy: the impact of peer pressure
Mathematical Biosciences and Engineering
drug abuse
dynamical models
global dynamics
peer pressure
bifurcation.
title Raves, clubs and ecstasy: the impact of peer pressure
title_full Raves, clubs and ecstasy: the impact of peer pressure
title_fullStr Raves, clubs and ecstasy: the impact of peer pressure
title_full_unstemmed Raves, clubs and ecstasy: the impact of peer pressure
title_short Raves, clubs and ecstasy: the impact of peer pressure
title_sort raves clubs and ecstasy the impact of peer pressure
topic drug abuse
dynamical models
global dynamics
peer pressure
bifurcation.
url https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.249
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