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In this article, a generalized Biological dynamical model of algal blooms is considered. The mathematical model consists of non-toxic phytoplankton, toxin producing phytoplankton, zooplankton with the economic values and harvest effort on zooplankton. In accordance with the knowledge of nonlinear dynamic system theory, differential-algebraic system theory and control theory investigates the stability of the model around the boundary equilibrium points and unique interior equilibrium point, and studies the dynamical behavior of the system near the positive equilibrium point and its control problem. Finally, using MATLAB software, numerical simulation illustrates the accuracy of the results.