School of Mathematics and Statistics, Hubei Minzu University, Enshi, Hubei 445000, China.
Math Biosci Eng. 2021 Oct 25;18(6):9094-9120. doi: 10.3934/mbe.2021448.
In this manuscript, a novel predator-prey system combining prey refuge with fuzzy parameters is formulated. Sufficient conditions for the existence and stability of biological equilibria are derived. The existence of bionomic equilibria is discussed under fuzzy biological parameters. The optimal harvesting policy, by Pontryagin's maximal principle, is also investigated under imprecise inflation and discount in fuzzy environment. Meticulous numerical simulations are performed to validate our theoretical analysis in detail.
本文提出了一个结合猎物避难所和模糊参数的新型捕食者-猎物系统。推导了生物平衡点存在和稳定性的充分条件。讨论了模糊生物参数下的生物平衡点的存在性。在模糊环境下的不精确通货膨胀和贴现的情况下，通过庞特里亚金极大值原理，研究了最优收获策略。进行了细致的数值模拟，以详细验证我们的理论分析。
