具有捕获的浮游动植物相互作用模型的研究
Mathematical Analysis of a Zooplankton-Phytoplankton Model with Harvest
DOI: 10.12677/PM.2023.135147, PDF,    科研立项经费支持
作者: 李晓娜：伊犁师范大学，数学与统计学院，新疆 伊宁；伊犁师范大学，应用数学研究所，新疆 伊宁
关键词: 浮游动植物；毒素；捕获；稳定性；Phytoplankton-Zooplankton； Toxin； Harvesting； Stability
摘要: 本文对具有捕获的一种产毒浮游植物与两种浮游动物相互作用模型进行了动力学研究。分析了模型平衡点的存在性和局部及全局稳定性。研究表明，由于毒素本身的特征，系统的稳定性不是不可逆的。
Abstract: A mathematical model with harvest is proposed and investigated in this paper. Stability criterion of the model is analyzed both from local and global point of view. Our results indicate that the stability of the system will not be irreversibly changed by the toxin intrinsic characteristics.
文章引用：李晓娜. 具有捕获的浮游动植物相互作用模型的研究[J]. 理论数学, 2023, 13(5): 1431-1439. https://doi.org/10.12677/PM.2023.135147

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