Abstract A predator-prey model interaction under fluctuating water level with non-selective harvesting is proposed and studied in this paper. Sufficient conditions for the permanence of two populations and the extinction of predator population are provided. The non-negative equilibrium points are given, and their stability is studied by using the Jacobian matrix. By constructing a suitable Lyapunov function, sufficient conditions that ensure the global stability of the positive equilibrium are obtained. The bionomic equilibrium and the optimal harvesting policy are also presented. Numerical simulations are carried out to show the feasibility of the main results.

中文翻译：

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水位波动下捕食者-猎物系统相互作用与非选择性捕捞

摘要 本文提出并研究了水位波动下非选择性捕捞的捕食者-猎物相互作用模型。为两个种群的持久性和捕食性种群的灭绝提供了充分的条件。给出了非负平衡点，并利用雅可比矩阵研究了它们的稳定性。通过构造合适的李雅普诺夫函数，得到了保证正均衡全局稳定的充分条件。还介绍了生物组学平衡和最佳收获策略。通过数值模拟验证了主要结果的可行性。