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

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-3
Year of Publication : 2021
Authors : Na Han, Yanhui Zhai
  10.14445/22315373/IJMTT-V67I3P509

MLA

MLA Style: 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 67.3 (2021):70-84. 

APA Style: Na Han, Yanhui Zhai(2021). Stability And Hopf Bifurcation of A Double Quality Level Supply Chain With Double Delay International Journal of Mathematics Trends and Technology, 70-84.

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 obain 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.

Reference

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