一类渔业经济模型的复杂动力学行为
Complex Dynamic Behavior of a Kind of Fishery Economic Model
DOI: 10.12677/aam.2024.134147, PDF,   
作者: 慕云田*, 周 欢：兰州交通大学数理学院，甘肃 兰州
关键词: 渔业经济；分岔；稳定域；吸引子共存；Fishery Economy； Bifurcation； Stable Region； Attractor Coexistence
摘要: 考虑到多个主体仅最大化个人利益的情形，本文建立了一个渔业经济模型。结合非线性动力学知识，利用单参数分岔图，吸引子，系统的间歇行为，以及吸引盆拓扑结构的变化分析了系统的动力学行为。较大的市场需求，可控的价格弹性和生物的内在增长率，较小的成本参数将会维持渔业资源的可持续发展，维护各主体的收益。
Abstract: Considering the situation that many agents only maximize their personal interests, this paper establishes a fishery economic model. Combined with the knowledge of nonlinear dynamics, the dynamic behavior of the system is analyzed by using one-parameter bifurcation diagram, attractors, intermittent behavior of the system, and the change of the topological structure of the basins. Larger market demand, controllable price elasticity and internal growth rate of organisms, and smaller cost parameters will maintain the sustainable development of fishery resources and maintain the return of each agent.
文章引用：慕云田, 周欢. 一类渔业经济模型的复杂动力学行为[J]. 应用数学进展, 2024, 13(4): 1565-1574. https://doi.org/10.12677/aam.2024.134147

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