MATHEMATICAL MODELLING ON KIDNAPPING WITH APPREHENDED KIDNAPPERS
DOI:
https://doi.org/10.60787/tnamp-19-29-38Keywords:
Kidnapping, Quick-money, Apprehension, Crime Propagation Number, TerrorismAbstract
In this work, we develop a mathematical model on kidnapping by incorporating the concept of apprehended kidnappers in a system of ordinary differential equations describing the evolution and propagation of kidnapping as a crime in human society. It accounts for the interaction between kidnappers and vulnerable humans leading to their abduction for the main purpose of ransom payment. We establish the crime propagation number,CPN, in which a CPN<1guarantees a kidnaping free state. The analysis and the numerical simulations of the model suggeststhat, increasing the apprehension rate of kidnappers by Security agents is a better and more effective way of ensuring a kidnapping free society.
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