DYNAMICS OF BANDITRY ACTIVITIES: A MATHEMATICAL MODELING APPROACH

Abstract

Banditry represents a significant worldwide social issue; in light of this, a mathematical model for the dynamics of banditry activities was developed. The model is intended to control banditry activities in society. The model encompasses six population classes and incorporates preventive measures such as preventing susceptible individuals from being kidnapped and taking the captured bandits into jail or detention. Bandits-free and bandits persistence were established. Also, the threshold parameter (Reproduction Number (R_c)) used to measure the level of banditry activities was established, as (R_c<1), banditry activities die out from the dynamical system, and if R_c>1 the banditry persists R_c>1, in the system. Numerical results demonstrate that banditry is effectively curbed when R_c<1 and persists otherwise. Stability analyses reveal the local asymptotic stability of the bandit-free equilibrium, further supported by global stability analysis employing the Lyapunov theorem. Empirical findings suggest that incarcerating captured bandits significantly outperforms lethal measures or preventing susceptible individuals from being kidnapped.