Abstract
In this paper, we have considered a predator–prey fishery model under harvesting, where the prey exhibits schooling behaviour. Positivity and boundedness of the system are discussed. Some criteria for the extinction of prey and predator populations are derived. Stability analysis of the equilibrium points are presented. Some criteria for Hopf bifurcation are derived. The optimal harvest policy is also discussed using Pontryagin’s Maximum Principle, where the effort is used as the control parameter to protect fish population from overfishing. Numerical simulations are carried out to validate our analytical findings. Implications of our analytical and numerical findings are discussed critically.
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