摘要
利用规范型理论和中心流形定理研究了一类二维具时滞的捕食-食饵共生模型的Hopf分支.通过对特征方程的分析,给出了其平衡点的稳定性、Hopf分支的存在性以及分支方向和分支周期解的稳定性等结果,并通过数值模拟验证了所得结论的正确性.
The Hopf bifurcation of a two-dimensional predator-prey symbiotic model with time delay is studied using the canonical form theory and the central manifold theorem.By analyzing the characteristic equation,the stability of equilibrium point,the existence of Hopf bifurcation,the stability of bifurcation direction and bifurcation periodic solution are given,and the correctness of the conclusions is verified by numerical simulation.
作者
高鹤
李秀玲
GAO He;LI Xiu-ling(College of Applied Mathematics,Jilin University of Finance and Economics,Changchun 130117,China)
出处
《东北师大学报(自然科学版)》
CAS
北大核心
2024年第1期23-28,共6页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(41301182)
吉林省自然科学基金资助项目(20210101153JC)。