A mathematical model of a criminal-prone society

Sanz Nuño, Juan Carlos and Herrero García, Miguel Ángel and Primicerio, Mario (2011). A mathematical model of a criminal-prone society. "Discrete And Continuous Dynamical Systems", v. 4 (n. 1); pp. 193-207. ISSN 1078-0947. https://doi.org/10.3934/dcdss.2011.4.193.


Title: A mathematical model of a criminal-prone society
  • Sanz Nuño, Juan Carlos
  • Herrero García, Miguel Ángel
  • Primicerio, Mario
Item Type: Article
Título de Revista/Publicación: Discrete And Continuous Dynamical Systems
Date: February 2011
ISSN: 1078-0947
Volume: 4
Faculty: E.T.S.I. Montes (UPM)
Department: Matemática Aplicada a los Recursos Naturales [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Criminals are common to all societies. To fight against them the community takes different security measures as, for example, to bring about a police. Thus, crime causes a depletion of the common wealth not only by criminal acts but also because the cost of hiring a police force. In this paper, we present a mathematical model of a criminal-prone self-protected society that is divided into socio-economical classes. We study the effect of a non-null crime rate on a free-of-criminals society which is taken as a reference system. As a consequence, we define a criminal-prone society as one whose free-of-criminals steady state is unstable under small perturbations of a certain socio-economical context. Finally, we compare two alternative strategies to control crime: (i) enhancing police efficiency, either by enlarging its size or by updating its technology, against (ii) either reducing criminal appealing or promoting social classes at risk

More information

Item ID: 11927
DC Identifier: https://oa.upm.es/11927/
OAI Identifier: oai:oa.upm.es:11927
DOI: 10.3934/dcdss.2011.4.193
Official URL: http://aimsciences.org/journals/displayArticles.jsp?paperID=5534
Deposited by: Memoria Investigacion
Deposited on: 25 Sep 2012 07:47
Last Modified: 21 Apr 2016 11:07
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