Hybrid Effects of Cooperative Hunting and Inner Fear on the Dynamics of a Fishery Model With Additional Food Supplement

IF 2.1 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2025-03-03 DOI:10.1002/mma.10805

Xinrui Yan, Yuan Tian, Kaibiao Sun

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引用次数: 0

Abstract

Fish resources are indispensable natural resources for human beings. The 2020 report of FAO emphasized the critical need for sustainable development of fishery resources and effective resource management strategies. This study aims to investigate the exploitation of fishery resources from theoretical aspect. Firstly, a fishery prey–predator model involving cooperative hunting, fear effect, and additional food supplement is proposed. The impact of the triple effects on the population dynamics is deduced. Secondly, in order to meet human needs, rationally develop fishery resources, and maximize economic benefits, a weighted threshold feedback fishing strategy is adopted, and the complex dynamic behaviors induced by the weighted fishing strategies are discussed, including the existence and stability of the boundary periodic solution and the interior order- $k$ periodic solutions. Finally, computer simulations are presented step by step to illustrate the theoretical results. The results provide a theoretical reference for scientific planning on exploitation and sustainable development of fishery resources.

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有额外食物补充的渔业模型中，合作狩猎和内心恐惧的混合效应

鱼类资源是人类不可缺少的自然资源。粮农组织2020年报告强调了渔业资源可持续发展和有效资源管理战略的迫切需要。本研究旨在从理论层面探讨渔业资源的开发利用问题。首先，提出了一个包含合作捕猎、恐惧效应和额外食物补充的渔业捕食模型。推导了三重效应对种群动态的影响。其次，为了满足人类需求，合理开发渔业资源，实现经济效益最大化，采用加权阈值反馈捕捞策略，讨论了加权捕捞策略引发的复杂动态行为，包括边界周期解和内部阶k $$ k $$周期解的存在性和稳定性；最后，通过计算机仿真逐步验证了理论结果。研究结果为科学规划渔业资源的开发利用和可持续发展提供了理论参考。

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来源期刊

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.