| 一类食饵-捕食模型的稳定性和Hopf分支的存在性 |
| |
| 引用本文： | 姚佳佳,沈维.一类食饵-捕食模型的稳定性和Hopf分支的存在性[J].吉林大学学报(理学版),2022,60(2):225-230. |
| |
| 作者姓名： | 姚佳佳 沈维 |
| |
| 作者单位： | 兰州交通大学 数理学院, 兰州 730070 |
| |
| 摘 要： | 通过分析特征方程的根在复平面上位置的方法, 给出模型唯一正平衡点的局部渐近稳定性、 全局稳定性和Hopf分支的存在性, 并利用MATLAB软件包和求
解常微分方程初值问题的数值方法, 对所得理论结果进行数值验证.
|
| 关 键 词： | 时滞 食饵-捕食模型 全局稳定性 Hopf分岔 |
| 收稿时间： | 2021-07-09 |
Stability of a Class of Prey-Predator Model and Existence of Hopf Bifurcation |
| |
| YAO Jiajia,SHEN Wei.Stability of a Class of Prey-Predator Model and Existence of Hopf Bifurcation[J].Journal of Jilin University: Sci Ed,2022,60(2):225-230. |
| |
| Authors: | YAO Jiajia SHEN Wei |
| |
| Institution: | School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China |
| |
| Abstract: | By analyzing the position of the root of characteristic equation on the complex plane, we gave the local asymptotic stability and global stability of unique positive equilibrium point of the model and the existence of Hopf bifurcation, and numerically verified the obtained theoretical results by using the MATLAB software package and numerical methods for solving initial value problems of ordinary differential equations. |
| |
| Keywords: | delay prey-predator model global stability Hopf bifurcation |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
