Mathematical Modeling Applied to Sustainable Management of Marine Resources

In this work, we formulate and study a nonlinear mathematical model of fishery management to understand the dynamics of a fishery resource system in an aquatic environment that consists of two zones; one is free fishing zone and another is reserve zone where fishing is strictly prohibited. We have analyzed the model by finding the existence of equilibrium points: biological and bionomic, dynamical behavior of equilibrium points and also derived the conditions of stability and instability of the system. The behavior of this dynamical model of marine fishery management has been illustrated by the numerical simulations to establish the presented analytical results.