European Journal of Applied Mathematics · 2013 · 13 citations · 15 references
Social SciencesCriminologyDemographyCrimePolicingSocial ControlCrime PolicyCrime PreventionCriminal JusticeCriminal Justice PolicyCriminal Justice SystemsPopulation Dynamics ModelingCrime ConcentrationCrime DeterrenceDifferential Equation FormulationDifferential Equation ModelsEmigrationEmigration RatesLyapunov Stability TheoryNonlinear Stability Theory
In this paper, a non-linear mathematical model is proposed and analysed to study the role of technology in combating social crimes in a dynamic population by considering immigration and emigration rates of susceptible population and criminals. The problem is modelled by considering five interacting variables, namely the density of susceptible population, the density of criminals, the density of removed (isolated) criminals, the density of crime burden and the level of technology used to control crime. The proposed model is analysed by using the stability theory of differential equation and simulation. The model analysis shows that the crime burden decreases considerably as the level of technology increases. It is noted that the crime in a society can be controlled almost completely if criminals from the general population are removed by intensive use of technology.
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