Kidnapping dynamics: a Lotka–Volterra approach with fractional order modeling

This paper investigates the dynamics of kidnapping incidents through the application of the Lotka-Volterra model with fractional order modeling. Drawing parallels between predator–prey interactions in ecological systems and the relationship between Kidnappers and Victims, this study aims to provide insights into the complex phenomenon of kidnapping. Theoretical foundations are established through key definitions and theorems, paving the way for the construction of the model. The existence and uniqueness of solutions to the model equations are examined, followed by a stability analysis to assess the long-term dynamics of kidnapping incidents. Numerical simulations are conducted to validate the theoretical framework and explore the sensitivity of the model to different parameters and initial conditions. By employing the Lotka-Volterra model with fractional order modeling, the study gives a deeper understanding of kidnapping incidents by drawing parallels with ecological systems, allowing for a more comprehensive analysis of the complex interactions between perpetrators and victims.