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

作　　者：郭爽[1] 张国辉[1] 马丹[1] Guo Shuang;Zhang guohui;Ma dan(School of Mathematical Sciences,Daqing Normal University,Daqing,Heilongjiang 163712,China)

机构地区：[1]大庆师范学院数学科学学院,黑龙江大庆163712

出　　处：《大庆师范学院学报》2024年第3期107-113,共7页Journal of Daqing Normal University

基　　金：大庆师范学院国家级基金培育项目“偏泛函微分方程在生态学中的应用”(19ZR01)。

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。Based on the global Hopf bifurcation theory of general functional differential equations established 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 theoretical 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 

分 类 号：O175.12[理学—数学]