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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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Restringido a Repository staff only 314kB |

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

## 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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