Abstract
The threats to wildlife in Sundarban, the largest mangrove forest in the world are poaching, recurrent coastal flooding, cyclone and toxicity. Optimal control theory is applied to investigate optimal strategies for controlling these threats in the system where anti-poaching patrols are used for poaching, strong Bomas are constructed to stopping retaliatory killing, green fence is built for controlling coastal flood and cyclone and re-rout is applied for toxicity control. The combination of the three controls is used to control its possible impact on the threats that the predator and the prey facing in Sundarbans. The system is also examined so that the best result is achieved. In this study, we have also analyzed the optimal control theory where the existing condition is discussed. However, different control strategies are considered and the achieved results are discussed together with the effect of variation of prey refuge.