佛山科学技术学院学报（自然科学版）2024，Vol.42Issue(3)：74-80,7.
反应-扩散logistic模型前向欧拉法的数值Hopf分支
Numerical Hopf bifurcation of the forward Euler method for the reaction-diffusion logistic model
柳雪阳 1王琦1
作者信息
- 1. 广东工业大学数学与统计学院,广东广州 510520
- 折叠
摘要
Abstract
In this paper,the forward Euler method is used to study the logistic reaction-diffusion population model with second-order mixed delay and instantaneous density restriction,and the dynamic problems of its numerical discrete system are analyzed.With the increase of time delay,it is proved that there are a series of Hopf bifurcations at the positive equilibrium point,and the stability of the fixed point is analyzed.Finally,the correctness of the theoretical results is verified by numerical simulation.关键词
前向欧拉法/反应-扩散logistic模型/Hopf分支/稳定性Key words
forward Euler method/reaction-diffusion logistic model/Hopf bifurcation/stability分类
数理科学引用本文复制引用
柳雪阳,王琦..反应-扩散logistic模型前向欧拉法的数值Hopf分支[J].佛山科学技术学院学报（自然科学版）,2024,42(3):74-80,7.
