Modeling the effect of police deterrence on the prevalence of crime in the society

作者：

Highlights：

• The effect of police force on crime is studied using nonlinear mathematical model.

• The immigration of criminals is restricted by police force.

• By ceasing the immigration of criminals, police force can eliminate crime from society.

• An explicit expression for critical number of baseline police force is derived.

• Numerical simulation and sensitivity analysis is performed on key parameters.

摘要

•The effect of police force on crime is studied using nonlinear mathematical model.•The immigration of criminals is restricted by police force.•By ceasing the immigration of criminals, police force can eliminate crime from society.•An explicit expression for critical number of baseline police force is derived.•Numerical simulation and sensitivity analysis is performed on key parameters.

论文关键词：Mathematical model,Crime,Police force,Sensitivity analysis,Stability

论文评审过程：Available online 21 April 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.03.136