一类浮游生物时滞模型的全局Hopf分支
Global Hopf Bifurcation on a Plankton Model with Time Delay
郭爽 1张国辉 1马丹1
作者信息
- 1. 大庆师范学院 数学科学学院,黑龙江 大庆 163712
- 折叠
摘要
本文利用吴建宏等人建立的一般泛函微分方程的全局Hopf分支理论,以时滞为参数,研究了三维浮游时滞模型的稳定性及Hopf分支的全局存在性,通过数值模拟验证了理论分析的正确性,并得出结论,即营养物质输入率极大地影响了周期解的周期.
Abstract
Based on the global Hopf bifurcation theory of general functional differential equations es-tablished by Wu Jianhong and others,this paper studies the stability of three-dimensional floating delay model and the global existence of Hopf bifurcation with time lag as parameters.The correctness of theo-retical analysis is verified by numerical simulation,and it is concluded that the input rate of nutrients greatly affects the period of periodic solutions.
关键词
浮游生物模型/时滞/全局Hopf分支/数值模拟Key words
Plankton model/Time delay/Global Hopf bifurcation/Numerical simulation引用本文复制引用
基金项目
大庆师范学院国家级基金培育项目(19ZR01)
出版年
2024
NETL
NSTL
万方数据