RT Journal Article T1 A mathematical model of a criminal-prone society A1 Nuño, Juan Carlos A1 Herrero, Miguel A. A1 Primicerio, Mario AB 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 PB American Institute of Mathematical Sciences SN 1937-1632 YR 2011 FD 2011-02 LK https://hdl.handle.net/20.500.14352/43942 UL https://hdl.handle.net/20.500.14352/43942 LA eng NO Italy-Spain Integrated Action NO Acción Especial UCM NO MEC DS Docta Complutense RD 10 abr 2025