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建立并研究了一类食藻系统模型及其最优控制问题。首先基于营养、藻类和食藻动物的作用关系建立一类食藻系统的动力学模型；其次利用定性分析理论研究系统平衡点的存在性及稳定性；再次利用最优控制理论计算其最优控制策略；最后利用数值分析验证理论分析的结果。文中研究结果可为水生态系统的治理和防范提供一定的理论依据。
Abstract：A nutrition-algae-grazer model and its optimal control model are established and studied in this paper. Firstly, based on the interactions among nutrition, algae and grazer, a dynamic model of a nutrition-algae-grazer is built. Secondly, the existence and stability of equilibria are studied by qualitative analysis theory. Thirdly, the optimal control strategy is calculated by using the optimal control theory. Finally, the results of theoretical analysis are verified by numerical analysis. The research results of this paper can provide some theoretical basis for the management and prevention of aquatic ecosystems.
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基本信息:
DOI：10.15923/j.cnki.cn22-1382/t.2025.6.11
中图分类号:O232;Q148
引用信息:
[1]窦园园,杨慧如,杜润梅,等.一类食藻系统的最优控制分析[J].长春工业大学学报,2025,46(06):557-562.DOI:10.15923/j.cnki.cn22-1382/t.2025.6.11.
基金信息:
国家自然科学基金资助项目(12071067)
2025-12-03
2025-12-03