Stability And Hopf Bifurcation of A Double
Quality Level Supply Chain With Double Delay

Na Han; Yanhui Zhai

doi:https://doi.org/10.14445/22315373/IJMTT-V67I3P509

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 3 | Year 2021 | Article Id. IJMTT-V67I3P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I3P509

Stability And Hopf Bifurcation of A Double Quality Level Supply Chain With Double Delay

Na Han, Yanhui Zhai

Citation :

Na Han, Yanhui Zhai, "Stability And Hopf Bifurcation of A Double Quality Level Supply Chain With Double Delay," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 3, pp. 70-84, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I3P509

Abstract

In this paper, the bifurcation theory is used to study the mass adjustment dynamic time-delay model with double time delay. Firstly, the delay decision is selected as the delay parameter to obtain the stability point and the critical value of maintaining stability, and the conditions for Hopf bifurcation are discussed. In addition, the Hopf bifurcation direction and the stability of periodic solutions are studied by using the central manifold theorem and the gauge theory, and the calculation formula is obtained. Finally, the validity of the conclusion is verified by numerical simulation with mathematical software.

Keywords

Center manifold theorem, Double mass level, Hopf bifurcation, Normal form theory, Stability

References

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