A mathematical model of criminal gang rivalry: Understanding the dynamics and implications

Abstract

This present paper considers the dynamics of two criminal gangs in a criminally active population. In our deterministic approach, we present the gang rivalry model to measure the impact of rivalry intensities at low and moderately high initiation rates. The qualitative and quantitative properties of the models are investigated using appropriate techniques that have proven to be effective. Based on the numerical simulation study, the initiation rates are observed to play a key role in the rise and fall of rivalry intensities in the criminally active period, which is characterized by a low level of law enforcement. Furthermore, this study reveals that by reducing the initiation rate between susceptible individuals and criminal gang groups, the rivalry intensities will be impacted for the overall public safety.