可变价格下渔业的最大可持续产量

IF 1.3 4区数学 Q3 BIOLOGY

Journal of Biological Systems Pub Date : 2023-10-31 DOI:10.1142/s0218339023500481

ANES MOULAI-KHATIR, ALI MOUSSAOUI, PIERRE AUGER

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引用次数: 0

摘要

提出了一个基于供求关系的可变价格生物经济渔业模型。该模型考虑了三个变量:资源生物量、捕捞努力量和市场价格。快速的价格变化将渔业系统归类为慢速快速系统。出现了两种主要情况:过度开发和鱼类灭绝的灾难性平衡(CE)和可持续渔业平衡。我们的目标是通过优化每单位捕鱼努力的成本来确定获得最大可持续产量的条件。此外，我们探索防止灭绝和恢复可持续捕捞的条件。海洋保护区(MPAs)可以通过破坏生态平衡和维持稳定的正平衡来恢复鱼类资源。提出了一个综合海洋保护区和鱼类运动的模型，表明渔区的承载能力-表面积比较小。通过选择合适的MPA表面积，可以获得最佳的总捕获量。

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MAXIMUM SUSTAINABLE YIELD FOR A FISHERY WITH VARIABLE PRICE

We present a bioeconomic fishery model with variable price based on supply and demand. The model considers three variables: resource biomass, fishing effort, and market price. Rapid price changes classify the fishery system as a slow–fast system. Two main cases arise: catastrophic equilibrium (CE) with overexploitation and fish extinction, and a sustainable fishery equilibrium. We aim to determine conditions for maximum sustainable yield by optimizing cost per unit of fishing effort. Additionally, we explore conditions to prevent extinction and restore sustainable fishing. Marine protected areas (MPAs) can restore fish stocks by destabilizing the CE and maintaining a stable positive equilibrium. A model incorporating an MPA and fish movement is proposed, suggesting a small carrying capacity-to-surface area ratio in the fishing zone. Optimal total catch can be achieved by selecting the appropriate MPA surface area.

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来源期刊

Journal of Biological Systems 生物-生物学

CiteScore

2.80

自引率

12.50%

发文量

审稿时长

1 months

期刊介绍： The Journal of Biological Systems is published quarterly. The goal of the Journal is to promote interdisciplinary approaches in Biology and in Medicine, and the study of biological situations with a variety of tools, including mathematical and general systems methods. The Journal solicits original research papers and survey articles in areas that include (but are not limited to): Complex systems studies; isomorphies; nonlinear dynamics; entropy; mathematical tools and systems theories with applications in Biology and Medicine. Interdisciplinary approaches in Biology and Medicine; transfer of methods from one discipline to another; integration of biological levels, from atomic to molecular, macromolecular, cellular, and organic levels; animal biology; plant biology. Environmental studies; relationships between individuals, populations, communities and ecosystems; bioeconomics, management of renewable resources; hierarchy theory; integration of spatial and time scales. Evolutionary biology; co-evolutions; genetics and evolution; branching processes and phyllotaxis. Medical systems; physiology; cardiac modeling; computer models in Medicine; cancer research; epidemiology. Numerical simulations and computations; numerical study and analysis of biological data. Epistemology; history of science. The journal will also publish book reviews.