Bio-mathematical Prey-Predator Model with Marine Protect Area(MPA) and Harvesting

This paper has formulated and discussed a prey-predator fishery model with marine protect area (MPA) along with combined and selective harvesting. Marine Protect area (MPA) consists of two zones namely unreserved zone ( harvesting is not restricted) and reserved zone ( harvesting is restricted). Biological equilibria of the system are derived, and the criteria for local stability, instability and global stability are established. The role of marine reserve is analyzed through the obtained results of numerical simulation through computer and MATLAB software of the proposed mathematical model. The results describe that size and existence of marine reserve have a stabilizing effect on population dynamics.