Modelling Of Crime Epidemic for Sustainable Development

Crime and poverty are highly correlated which can lead to crime epidemic that can negate sustainable industrial development in a community. Hence, there is the need to proffer possible solutions that could reduce this crime-epidemic in the society to the barest minimum. A deterministic PSCJR model with five compartments is formulated using the ordinary differential equations (ODE) to get a more realistic solution. The ordinary differential equation is used to derive the basic reproduction number R
0
of the model which is use as a threshold condition to determine the stability of the model at crime free equilibrium (CFE). Sensitivity analysis is carried out on the parameters, hence a numerical simulation with hypothetical data on the reproduction number R
0
was determined. The stability analysis of the model was examined using Routh-Hurwitz stability criterion to test for crime free equilibrium (CFE).Therefore if R
0
is greater than one it indicate that CFE is asymptotically unstable; there is existence of crime prevalence in the society but if R
0
is less than one, it shows that CFE is locally asymptotically stable, thus the reduction of crime overtime.