一类基于状态反馈控制的藻–鱼生态系统的动力学分析
Dynamics Analysis of an Algae-Fish Ecosystem Based on State Feedback Control
DOI: 10.12677/AAM.2021.102043, PDF,    国家自然科学基金支持
作者: 陈芳芳, 庄子游, 江欣怡, 刘 慧, 江逸城, 黄超越, 于恒国*：温州大学，数理学院，浙江 温州；王 奇：温州大学，生命与环境科学学院，浙江 温州
关键词: 藻类种群；滤食性鱼类种群；平衡点；周期解；稳定性；Algae Population； Filter-feeding Fish Population； Equilibrium Point； Periodic Solution； Stability
摘要: 基于“综合除藻 + 生态抑藻”相结合治理措施，构建了一类依赖状态反馈控制的藻–鱼生态系统，对其相关动力学特征进行理论分析与数值模拟，获得了系统半平凡周期解与周期解存在及其稳定的阈值条件，模拟出系统所具有的特定动力学性态，验证了理论推导结果的可行性与有效性，并进一步揭示综合治理措施的可实施性，这些研究工作为进一步探索亚热带水库蓝藻水华的综合治理提供一定的理论基础。
Abstract: In the paper, on the basic of the combination of comprehensive algae removal and ecological algae suppression, an algae-fish ecosystem based on state feedback control was proposed to investigate the dynamic characteristics mathematically and numerically. The threshold conditions for the existence and stability of semi trivial periodic solution and periodic solution were obtained. The specific dynamic behaviors of the system were simulated to verify the feasibility and validity of the theoretical results and further reveal the feasibility of comprehensive management measures. Finally, it is our expectation that these studies can provide a theoretical basis for further exploring the comprehensive management of cyanobacterial blooms in subtropical reservoirs.
文章引用：陈芳芳, 庄子游, 江欣怡, 刘慧, 江逸城, 黄超越, 王奇, 于恒国. 一类基于状态反馈控制的藻–鱼生态系统的动力学分析[J]. 应用数学进展, 2021, 10(2): 373-385. https://doi.org/10.12677/AAM.2021.102043

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