Abstract
In this paper we consider two competing fish population which are subject to be harvested. The growth of them follows the logistic growth function. Both the species release toxic substances which are harmful to each other. The boundedness, persistence, equilibria, stability, bionomic equilibrium and optimal harvesting policy have been studied. We have shown that the dynamical outcomes of the interacting fish species will much sensitive to the system parameters and their initial population volumes. Counter-intuitive results on role played by toxic coefficients are highly gated. Finally, some numerical example are cited to illustrate the effect of toxicity upon both the species.
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