干扰生态竞争模型下的可持续采收策略

IF 2.2 4区数学 Q3 ECOLOGY

Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2025-09-29 DOI:10.1080/17513758.2025.2554907

Peng Feng

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引用次数: 0

摘要

本文研究了一个具有两个捕食者和一个猎物的三物种生态竞争模型，该模型考虑了食物限制生长和线性和二次收获策略。利用数学分析，我们确定了平衡点，并推导出其稳定性和持久性的条件。结果表明，与线性采伐相比，二次采伐显著提高了稳定性，促进了共存，减轻了灭绝风险。数值模拟验证了理论结果，突出了二次收获在种群动态管理中的有效性。这些见解有助于对复杂生态系统中可持续收获策略的数学理解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Sustainable harvesting strategy in an ecological competition model with interference.

This paper examines a three-species ecological competition model with two predators and one prey, incorporating food-limited growth and both linear and quadratic harvesting strategies. Using mathematical analysis, we identify equilibrium points and derive conditions for their stability and persistence. The results reveal that quadratic harvesting significantly enhances stability, promotes coexistence, and mitigates extinction risks compared to linear harvesting. Numerical simulations validate the theoretical findings, highlighting the effectiveness of quadratic harvesting in managing population dynamics. These insights contribute to the mathematical understanding of sustainable harvesting strategies in complex ecological systems.

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来源期刊

Journal of Biological Dynamics ECOLOGY-MATHEMATICAL & COMPUTATIONAL BIOLOGY

CiteScore

4.90

自引率

3.60%

发文量

审稿时长

33 weeks

期刊介绍： Journal of Biological Dynamics, an open access journal, publishes state of the art papers dealing with the analysis of dynamic models that arise from biological processes. The Journal focuses on dynamic phenomena at scales ranging from the level of individual organisms to that of populations, communities, and ecosystems in the fields of ecology and evolutionary biology, population dynamics, epidemiology, immunology, neuroscience, environmental science, and animal behavior. Papers in other areas are acceptable at the editors’ discretion. In addition to papers that analyze original mathematical models and develop new theories and analytic methods, the Journal welcomes papers that connect mathematical modeling and analysis to experimental and observational data. The Journal also publishes short notes, expository and review articles, book reviews and a section on open problems.