基于亚热带水库生态系统的营养盐–藻类种群生态模型构建及其动力学分析
Establishment and Dynamics Analysis of Nutrient-Algae Ecological Model Based on Subtropical Reservoir Ecosystem
DOI: 10.12677/AAM.2021.101010, PDF,    国家自然科学基金支持
作者: 李欣欣, 颜厥远, 谢新雨, 徐振宇, 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；营养盐；平衡点；稳定性；Hopf分叉；Algae Population； Nutrient； Equilibrium Point； Stability； Hopf-Bifurcation
摘要: 基于亚热带水库生态系统中营养盐浓度动态变化特点与藻类种群生长动态特征，为探索营养盐与藻类种群之间的作用机制，构建了一类营养盐–藻类种群生长动态模型，对所建模型进行动态特征分析与数值模拟，研究了模型内平衡点的存在性与稳定性，给出了模型发生Hopf分岔的阈值临界条件，数值模拟出模型所具有的特定动力学行为，验证了理论推导结果的可行性与有效性，揭示了水域生态系统中营养盐动态变化趋势，明确了蓝藻种群与绿藻种群共存生长模型。这些研究工作为进一步研究吴家园水库营养盐动态变化趋势和探索水库优势藻类种群生长动态规律提供一定的理论支撑。
Abstract: In the paper, firstly, on the basic of the dynamic change characteristics of nutrient concentration and algal population growth in subtropical reservoir ecosystem, a nutrient-algae dynamical model was proposed to explore the interaction mechanism between nutrients and algae population. Secondly, the existence and stability of equilibrium points in the model were studied and the threshold critical condition of Hopf bifurcation was given. Thirdly, the specific dynamic behavior of the model was simulated to verify the feasibility and effectiveness of the theoretical results, reveal the dynamic change trend of nutrients in aquatic ecosystem and define the coexistence growth model of cyanobacteria population and green algae population. Finally, these studies can provide theoretical support for further study on the dynamic change trend of nutrients and the growth dynamics of dominant algae population in Wujiayuan reservoir.
文章引用：李欣欣, 颜厥远, 谢新雨, 徐振宇, 王奇, 于恒国. 基于亚热带水库生态系统的营养盐–藻类种群生态模型构建及其动力学分析[J]. 应用数学进展, 2021, 10(1): 81-91. https://doi.org/10.12677/AAM.2021.101010

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