Stability and Local Hopf Bifurcation Analysis
in Rayleigh Price Model with Two Time
Delays

Lei Peng; Yanhui Zhai

doi:https://doi.org/10.14445/22315373/IJMTT-V60P511

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 60 | Number 2 | Year 2018 | Article Id. IJMTT-V60P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V60P511

Stability and Local Hopf Bifurcation Analysis in Rayleigh Price Model with Two Time Delays

Lei Peng, Yanhui Zhai

Abstract

This paper mainly investigates a Rayleigh price model with two time delays. First, two time delays are introduced to the original Rayleigh price model and we establish a new model. Second, the linear stability of the model and the local Hopf bifurcation are studied and we derived the conditions for the stability and the existence of Hopf bifurcation at the equilibrium of the system. Besides, some numerical simulation results are confirmed that the feasibility of the theoretical analysis. At last, some conclusions of this paper are given.

Keywords

Rayleigh price model, Stability, Hopf bifurcation, Equilibrium , Numerical simulation.

References

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Citation :

Lei Peng, Yanhui Zhai, "Stability and Local Hopf Bifurcation Analysis in Rayleigh Price Model with Two Time Delays," International Journal of Mathematics Trends and Technology (IJMTT), vol. 60, no. 2, pp. 60-69, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V60P511