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A mathematical model of a criminal-prone society

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Nuño, Juan Carlos and Herrero, Miguel A. and Primicerio, Mario (2011) A mathematical model of a criminal-prone society. Discrete and Continuous Dynamical Systems. Series S, 4 (1). pp. 193-207. ISSN 1937-1632

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Official URL: http://www.aimsciences.org/journals/displayArticles.jsp?paperID=5534


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Abstract

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-ofcriminals steady state is unstable under small perturbations of a certain socioeconomical 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


Item Type:Article
Uncontrolled Keywords:Criminality; population dynamics; nonlinear dynamical system; social mobility
Subjects:Sciences > Mathematics > Differential equations
Sciences > Mathematics > Operations research
ID Code:22548
Deposited On:24 Jul 2013 11:12
Last Modified:12 Dec 2018 15:07

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