非线性需求下多主体渔业经济模型的动力学分析

吉林大学学报(理学版) ›› 2026, Vol. 64 ›› Issue (1): 21-0027.

非线性需求下多主体渔业经济模型的动力学分析

李险峰^1,2, 杨哲¹, 严思雨¹, 张风¹

1. 兰州交通大学数理学院, 兰州 730070; 2. 兰州交通大学甘肃省复杂系统分析及控制基础学科研究中心, 兰州 730070

收稿日期:2025-04-23 出版日期:2026-01-26 发布日期:2026-01-26
通讯作者: 杨哲 E-mail:yangzhe544873@163.com

Dynamic Analysis of Fishery Economic Models with Multi-agents under Nonlinear Demands

LI Xianfeng^1,2, YANG Zhe¹, YAN Siyu¹, ZHANG Feng¹

1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China;
2. Gansu Center for Fundamental Research in Complex Systems Analysis and Control, Lanzhou Jiaotong University, Lanzhou 730070, China

Received:2025-04-23 Online:2026-01-26 Published:2026-01-26

摘要/Abstract

摘要： 基于非线性需求函数, 建立一个多主体完全不合作的渔业经济模型, 并讨论系统的局部稳定性与多稳态性, 以及相关参数对系统局部和全局动力学的影响. 结果表明, 当成本参数和价格弹性较小, 但市场需求较大且内在增长率能有效控制在一定范围内时, 将有助于多个参与者获得更佳收益.

关键词: 非线性需求函数, 渔业经济, 多稳态, 临界曲线, 全局动力学

Abstract: Based on a nonlinear demand function, we established a fishery economic model with multi-agent completely uncooperative, and discussed the local stability and multi-stability of the system, as well as the influence of related parameters on the local and global dynamics of the system. The results show that it will help multiple participants obtain better returns when the cost parameters and the price elasticity are small, but the market demand is large, and the intrinsic growth rate can be effectively controlled within a certain range.

Key words: nonlinear demand function, fishery economy, multi-stability, critical curve, global dynamics

中图分类号:

李险峰, 杨哲, 严思雨, 张风. 非线性需求下多主体渔业经济模型的动力学分析[J]. 吉林大学学报(理学版), 2026, 64(1): 21-0027.

LI Xianfeng, YANG Zhe, YAN Siyu, ZHANG Feng. Dynamic Analysis of Fishery Economic Models with Multi-agents under Nonlinear Demands[J]. Journal of Jilin University Science Edition, 2026, 64(1): 21-0027.

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