时滞食饵-捕食系统的多次稳定性切换和Hopf分支  

Multiple stability switches and Hopf bifurcation in a time-delay predator-prey system

作　　者：沈维 张存华[1] SHEN Wei;ZHANG Cun-hua(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,Gansu,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《山东大学学报（理学版）》2022年第1期42-49,共8页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(615630224)。

摘　　要：考虑了具有Holling-Ⅲ型功能反应的时滞食饵-捕食模型。通过分析相应特征方程的根在复平面上的分布,研究了模型正平衡点的稳定性与Hopf分支,最后利用MATLAB软件包对相应的理论结果进行了数值验证。A time-delay predator-prey model with Holling typeⅢfunctional response is consider.The stability and Hopf bifurcation of the positive equilibrium point of the model are studied by analyzing the distribution of the roots of the corresponding characteristic equation on the complex plane.Finally,the corresponding theoretical results are verified by MATLAB software package.

关 键 词：捕食系统 稳定性切换 时滞 HOPF分支 

分 类 号：O175.26[理学—数学]