非选择性半封闭捕获对具有恐惧效应的Lotka-Volterra捕食–食饵模型的动力性行为影响研究
The Influence of Non-Selective Harvesting in a Partial Closure on the Dynamic Behavior of a Lotka-Volterra Predator-Prey System with Fear Effect
DOI: 10.12677/AAM.2021.105157, PDF,   
作者: 陈佳琳, 张馨馨, 何夏晴, 陈凤德：福州大学数学与计算机科学学院，福建 福州
关键词: 捕获；恐惧效应；捕食者；食饵；Harvesting； Fear Effect； Predator； Prey
摘要: 本文提出并研究一类具有非选择性半封闭捕获和恐惧效应的Lotka-Volterra捕食–食饵模型。我们的研究表明捕获会极大的影响系统的动力学行为，为了确保两个种群能有效的共存，我们需要限制捕捞区域。
Abstract: A Lotka-Volterra predator-prey system with fear effect and non-selective harvesting in a partial closure is proposed and studied in this paper. Our study shows that harvesting plays an important role on the dynamic behaviors of the system. To ensure the species coexistent in a stable state, we need to restrict the harvesting to a suitable area.
文章引用：陈佳琳, 张馨馨, 何夏晴, 陈凤德. 非选择性半封闭捕获对具有恐惧效应的Lotka-Volterra捕食–食饵模型的动力性行为影响研究[J]. 应用数学进展, 2021, 10(5): 1475-1486. https://doi.org/10.12677/AAM.2021.105157

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