Mathematical Modeling of Kidnapping: Dynamics and Control

Study’s Excerpt/Novelty This study introduces a mathematical model for categorizing and analyzing the activities of kidnappers, providing a structured framework with six compartments: susceptible individuals (S), informers (I), kidnappers (K), kidnapper soldiers (KS), kidnapper sponsors (KS), kidnapper leaders (KL), and individuals undergoing rehabilitation (R). By calculating the effective reproduction number, the model offers valuable insights into the potential eradication or persistence of kidnapping activities, contingent on whether the reproduction number is below or above 1. The findings highlight the significant impact of targeted interventions, such as eliminating and incarcerating kidnappers and their leaders, in reducing the incidence of kidnapping. Full Abstract Kidnapping is a major societal issue. This study develops a mathematical model categorizing kidnappers by their activities. The model is divided into six compartments: susceptible individuals (S), informers (I), kidnappers (K), kidnappers soldiers (KS), kidnappers sponsors (KS), kidnappers leaders (KL), and individuals undergoing rehabilitation (R). The model assesses control strategies by calculating the effective reproduction number. A reproduction number less than 1 indicates the potential eradication of kidnapping activities, while a higher number suggests persistence. The results reveal that eliminating as well as incarcerating kidnappers and their leaders can significantly reduce kidnapping incidents.