Logo

Download

Title:
Bifurcation dynamics in a fractional-order oregonator model including time delay
Authors:
Changjin Xu, Wei Zhang, Chaouki Aouiti, Zixin Liu, Peiluan Li, Lingyun Yao
doi:
Volume
87
Issue
2
Year
2022
Pages
397-414
Abstract Setting up mathematical models to describe the interaction of chemical variables has been a hot issue in chemical and mathematical areas. Nevertheless, many mathematical models are only involved with the integer-order differential equation case. The fruits on fractional-order chemical models are very scarce. In this present work, on the basis of the previous studies, we set up a novel fractional-order delayed Oregonator model. Selecting the time delay as bifurcation parameter, we obtain novel delay-independent bifurcation conditions that guarantee the stability and the appearance of Hopf bifurcation for the fractional-order delayed Oregonator model. The study shows that time delay plays a vital role in controlling the stability and the appearance of Hopf bifurcation of the considered fractional-order delayed Oregonator model. In order to verify the rationality of theoretical results, computer simulations are carried out.

Back