Effect of Poaching on Tiger-Deer interaction Model with Ratio-Dependent Functional Response in the Sundarbans Ecosystem

Some of the biological species like tiger, deer and monkeys in Sundar- bans, the largest mangrove forest in the world have been driven to extinction due to several external forces such as illegal poaching, over exploitation, predation, environmental pollution and mismanagemen- t of habitat.This paper deals with a ratio-dependent predator-prey model with prey refuge and illegal harvesting of both species.The boundedness of solution, feasibility of interior equilibria have been determined. Optimal control technique has been applied to investi- gate anti-poaching patrol strategy for controlling the threat in the predator prey system facing in Sundarbans. The system is also ex- amined so that the better control strategy is achieved. Moreover, the control strategy is obtained on the effect of variation of prey refuge.