摘要
考虑具有收获率的Holling-Ⅱ型功能反应函数的食饵-捕食模型,通过详细分析系统在正平衡点E处线性化系统的特征方程的根在复平面上的分布,讨论模型正平衡点E的稳定性分析.最后利用Matlab软件包对相应的理论结果进行了数值验证.
A predator-prey model with harvest rate and Holling-Ⅱ functional response function is considered.By detailed analysis of the distribution of the roots of the characteristic equation of the linearized system of the original system at the positive equilibrium point E*in the complex plane,an analysis is made of the stability of the positive equilibrium point E*in the model.Finally,the corresponding theoretical results are given a numerical verification by Matlab software package.
作者
沈维
姚佳佳
SHEN Wei;YAO Jiajia(Department of Mathematics,Lanzhou Jiaotong University,Lanzhou,Gansu 730070,China)
出处
《内江师范学院学报》
CAS
2021年第10期36-41,共6页
Journal of Neijiang Normal University
基金
国家自然基金项目(615630224)。
关键词
时滞
捕食模型
稳定性
HOPF分支
delay
predator-prey system
stability
Hopf bifurcation