Stability and Hopf bifurcation analysis of a pair of three-neuron loops with time delays

2011 ◽  
Vol 68 (1-2) ◽  
pp. 151-159 ◽  
Author(s):  
Xiaochen Mao
Keyword(s):  
Hopf Bifurcation ◽  
Bifurcation Analysis ◽  
Time Delays

Stability and Hopf bifurcation analysis of an SVEIR epidemic model with vaccination and multiple time delays

2020 ◽  
Vol 131 ◽  
pp. 109483 ◽  
Author(s):  
Zizhen Zhang ◽  
Soumen Kundu ◽  
Jai Prakash Tripathi ◽  
Sarita Bugalia
Keyword(s):  
Hopf Bifurcation ◽  
Bifurcation Analysis ◽  
Epidemic Model ◽  
Time Delays ◽  
Multiple Time ◽  
Multiple Time Delays

Hopf bifurcation analysis of a tumor virotherapy model with two time delays

2020 ◽  
Vol 553 ◽  
pp. 124266 ◽  
Author(s):  
Hui-zhong Li ◽  
Xiang-dong Liu ◽  
Rui Yan ◽  
Cheng Liu
Keyword(s):  
Hopf Bifurcation ◽  
Bifurcation Analysis ◽  
Time Delays

Stability and Hopf bifurcation analysis of flux neuron model with double time delays

2022 ◽  
Author(s):  
Lixiang Wei ◽  
Jiangang Zhang ◽  
Xinlei An ◽  
Mengran Nan ◽  
Shuai Qiao
Keyword(s):  
Hopf Bifurcation ◽  
Bifurcation Analysis ◽  
Time Delays ◽  
Neuron Model ◽  
Double Time

Bifurcation analysis of a fractional-order SIQR model with double time delays

2020 ◽  
Vol 13 (07) ◽  
pp. 2050067
Author(s):  
Shouzong Liu ◽  
Ling Yu ◽  
Mingzhan Huang
Keyword(s):  
Hopf Bifurcation ◽  
Convergence Rate ◽  
Fractional Order ◽  
Bifurcation Analysis ◽  
Time Delays ◽  
Oscillatory System ◽  
Endemic Equilibrium ◽  
Nonlinear Incidence Rate ◽  
Double Time ◽  
The Stability

In this paper, a fractional-order delayed SIQR model with nonlinear incidence rate is investigated. Two time delays are incorporated in the model to describe the incubation period and the time caused by the healing cycle. By analyzing the associated characteristic equations, the stability of the endemic equilibrium and the existence of Hopf bifurcation are obtained in three different cases. Besides, the critical values of time delays at which a Hopf bifurcation occurs are obtained, and the influence of the fractional order on the dynamics behavior of the system is also investigated. Numerically, it has been shown that when the endemic equilibrium is locally stable, the convergence rate of the system becomes slower with the increase of the fractional order. Besides, our studies also imply that the decline of the fractional order may convert a oscillatory system into a stable one. Furthermore, we find in all these three cases, the bifurcation values are very sensitive to the change of the fractional order, and they decrease with the increase of the order, which means the Hopf bifurcation gradually occurs in advance.

Hopf Bifurcation Analysis in a Chartist-Fundamentalist Model with Time-Delays

2012 ◽  
Author(s):  
Loretti Isabella Dobrescu ◽  
Mihaela Neamtu ◽  
Dumitru Opris
Keyword(s):  
Hopf Bifurcation ◽  
Bifurcation Analysis ◽  
Time Delays
Sign in / Sign up

Export Citation Format

Share Document