BIFURCATION ANALYSIS OF A DIFFUSIVE BIMOLECULAR MODEL WITH DELAYED FEEDBACK
In this paper, we consider a bimolecular chemical reaction-diffusion model with saturation law and delayed feedback. We mainly study the local stability and Turing instability of the coexisting equilibrium. In addition, we also investigate the existence of Hopf bifurcation by using time delay as bifurcation parameter. Our results show that time delay can affect the stability of the coexisting equilibrium and induce periodic oscillation.
diffusive bimolecular system, Turing instability, Hopf bifurcation, delayed feedback.
Received: November 16, 2020; Accepted: December 12, 2020; Published: February 15, 2021
How to cite this article: Changyuan Liu and Ruizhi Yang, Bifurcation analysis of a diffusive bimolecular model with delayed feedback, Advances in Differential Equations and Control Processes 24(1) (2021), 1-9. DOI: 10.17654/DE024010001
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
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