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
利用前向欧拉法研究具有二阶混合时滞和瞬时密度制约的logistic反应扩散种群模型,并对其数值离散系统的动力学问题进行分析.随着时滞的增加,证明了在正平衡点处出现了一系列Hopf分支,分析了不动点的稳定性.最后,通过数值模拟验证理论结果的正确性.
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引用本文复制引用
出版年
2024
国家科技期刊平台
NSTL
万方数据