In this paper, the schooling behavior of prey fish population in a predator–prey interaction is investigated. By taking an economical interest which can be elaborated by the presence of nonselective harvesting into consideration, we studied the dynamical behavior. The existence, positivity and boundedness of solution have been established. The analysis of the equilibrium states is presented by studying the local and the global stability. The possible types of local bifurcation that the system can undergoes are discussed. The effect of fishing effort on the evolution of the species is examined. Further, by using Pontryagin’s maximum principle a proper management strategy has been used for avoiding the extinction of the considered species and maximizing the benefits. For the validation of the theoretical result, several of graphical representations have been used.

在本文中，研究了捕食者-猎物相互作用中猎物鱼群的群居行为。通过考虑可以通过非选择性收获的存在来阐述的经济利益，我们研究了动态行为。已经建立了解的存在性、正性和有界性。平衡状态的分析是通过研究局部和全局稳定性来呈现的。讨论了系统可能经历的局部分叉的可能类型。研究了捕捞努力对物种进化的影响。此外，通过使用庞特里亚金的最大原则，已使用适当的管理策略来避免所考虑物种的灭绝并使收益最大化。为了验证理论结果，