|本期目录/Table of Contents|

[1]谭梦凡,魏春金.具有饱和输出的化学反应模型的稳定性和Hopf分支[J].集美大学学报(自然科学版),2024,29(6):495-504.
　TAN Mengfan,WEI Chunjin.Hopf Bifurcation and Stability for a Chemical Reaction Model with Saturated Output[J].Journal of Jimei University,2024,29(6):495-504.
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第29卷
期数:
2024年第6期
页码:
495-504
栏目:
数理科学与信息工程
出版日期:
2024-11-28

文章信息/Info

Title:
Hopf Bifurcation and Stability for a Chemical Reaction Model with Saturated Output
作者:
谭梦凡; 魏春金
集美大学理学院，福建 厦门 361021
Author(s):
TAN Mengfan; WEI Chunjin
School of Science,Jimei University,Xiamen 361021,China
关键词:
饱和输出; 化学反应; Turing不稳定性; Hopf分支
Keywords:
saturated output; chemical reaction; Turing instability; Hopf bifurcation
分类号:
-
DOI:
-
文献标志码:
A
摘要:
在齐次Neumann边界条件下,讨论一类具有饱和输出的化学反应模型的Hopf分支问题。讨论常微分系统正平衡点的存在性和稳定性,分析Hopf分支的存在性、方向及稳定性；讨论反应扩散系统的Turing不稳定性和Hopf分支。最后,借助Matlab软件进行数值模拟,验证和刻画了文中的结论。
Abstract:
In this paper,a chemical reaction model with saturated output and homogeneous Neumann boundary conditions was considered.Firstly,the stability of the positive equilibrium for the ordinary differential system was discussed,and the existence,direction and stability of Hopf bifurcation were analyzed.Secondly,the Turing instability and Hopf bifurcation were established in the corresponding reaction-diffusion system.Finally,some numerical simulations were carried out with the help of Matlab software to verify the theoretical results.

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更新日期/Last Update: 2024-12-30