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Dynamic Analysis and Hopf Bifurcation of a Lengyel–Epstein System with Two Delays
- Source :
- Journal of Mathematics, Vol 2021 (2021)
- Publication Year :
- 2021
- Publisher :
- Hindawi, 2021.
-
Abstract
- In this paper, a Lengyel–Epstein model with two delays is proposed and considered. By choosing the different delay as a parameter, the stability and Hopf bifurcation of the system under different situations are investigated in detail by using the linear stability method. Furthermore, the sufficient conditions for the stability of the equilibrium and the Hopf conditions are obtained. In addition, the explicit formula determining the direction of Hopf bifurcation and the stability of bifurcating periodic solutions are obtained with the normal form theory and the center manifold theorem to delay differential equations. Some numerical examples and simulation results are also conducted at the end of this paper to validate the developed theories.
Details
- Language :
- English
- ISSN :
- 23144629
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematics
- Accession number :
- edsair.doi.dedup.....49e162a9911fcb9e3869419f3a443e47
- Full Text :
- https://doi.org/10.1155/2021/5554562