具有双时滞和强弱合作伙伴的May合作系统的Hopf分支  

Hopf bifurcation of a May cooperative system with two time delays including strong and weak partners

作　　者：武微 吕堂红[1] WU Wei;LYU Tanghong(School of Mathematics and Statistics,Changchun University of Science and Technology,Changchun 130022,China)

机构地区：[1]长春理工大学数学与统计学院,吉林长春130022

出　　处：《东北师大学报(自然科学版)》2025年第1期16-24,共9页Journal of Northeast Normal University(Natural Science Edition)

基　　金：吉林省教育厅科学技术研究项目(JJKH20240891KJ);国家自然科学基金资助项目(11426045)。

摘　　要：针对一类具有双时滞和强弱合作伙伴的May合作系统进行研究.以2个时滞的不同组合作为分支参数,对正平衡点的局部稳定性和Hopf分支的存在性进行讨论,得出了当时滞超过临界值时,所考虑的系统在正平衡点处出现Hopf分支的结论,并确定了分支周期解的性质.通过选取适当的参数对系统进行数值模拟,验证了理论结果的有效性.A class of May cooperative systems with two time delays and strong and weak partners is studied.The local stability of the positive equilibrium point and the existence of Hopf bifurcation are discussed by using different combinations of the two time delays as bifurcation parameters.It is concluded that when the time delays exceed a critical value,a Hopf bifurcation occurs at the positive equilibrium point of the system.Then,the property of the bifurcated periodic solutions is determined.Finally,numerical simulations are performed by selecting appropriate parameters to validate the theoretical results.

关 键 词：双时滞 强弱合作伙伴 May合作系统 HOPF分支 分支周期解 

分 类 号：O175.1[理学—数学]