Hopf bifurcation in a fractional-order generalized Logistic model with double delays
- Resource Type
- Conference
- Authors
- Yang, Xiaoting; Yuan, Liguo
- Source
- 2022 41st Chinese Control Conference (CCC) Chinese Control Conference, 2022 41st. :856-860 Jul, 2022
- Subject
- Computing and Processing
Robotics and Control Systems
Signal Processing and Analysis
Transportation
Bifurcation
Numerical simulation
Mathematical models
Stability analysis
Delays
Numerical models
Numerical stability
Fractional derivative
Hopf bifurcation
Double delays
Logistic model
- Language
- ISSN
- 1934-1768
In this paper, we consider a fractional-order generalized Logistic model with double delays. We analyze the corresponding characteristic equations in different situations. Furthermore, we choose the delay as the bifurcation parameter and discuss the condition of the Hopf bifurcation at the positive equilibrium and the influence of the delay on the stability. Finally, numerical simulations are used to support our results.