Abstract:
In this work, we study a three-species plankton-fish system in a polluted environment with
linear harvesting and pollution reduction efforts. We considered a deterministic model
consisting of a system of three nonlinear differential equations. We investigated the existence, uniqueness, and boundedness of solutions, followed by the dynamical behaviour
near steady states. This is done using the Jacobian matrix and the Lyapunov function. Finally, we presented an optimal harvest problem with the help of the Pontryagin Maximum
Principle. Numerical simulations are performed to demonstrate the significant outcomes of
the study using MATLAB 2013 a software.
