MATHEMATICAL MODELING OF BANDITRY INCORPORATING REPENTANT BANDITS AND GOVERNMENT EFFORTS
Abstract
Banditry is one of the major global societal problem. In view of this, a mathematical model of banditry was developed incorporating repentant bandits and government efforts. The model is constructed to control banditry activities in the society. The population is divided in to eight (8) compartments: S1 ,S2,B,C,F1,F2,R and G. Furthermore, the effective reproduction number RC was calculated. For the control parameters , RC < 1 the sociological implication of RC < 1 is banditry is nearly eradicated, and for control parameters then RC,>1 meaning the number of bandits will persist to endemic. A locally asymptotically stable of bandit-free and bandits-present equilibrium where established, the global stability was established using Lyapunov theorem. The finding shows that effort of government in eliminating and rehabilitating of bandits are best way of tackling banditry activities.
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