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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 8 | Year 2021 | Article Id. IJMTT-V67I8P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I8P516

Stability Analysis of Low Carbon Product Price Game Model with Double Delay


Na Han, Yanhui Zhai
Abstract

This paper, bifurcation theory is used to study the price game model of low-carbon products with double time delays. Firstly, the delay decision of the retailer and the manufacturer is selected as the delay parameter, and the stability point and the critical value of maintaining the stability of the system are obtained by using the eigenvalue method, and the condition of Hopf bifurcation is discussed. Finally, the validity of the conclusion is verified by numerical simulation with mathematical software.

Keywords
Hopf bifurcation, stability, price game model, numerical simulation
References

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[4] Sun Z J. Market-oriented green supply chain integration and growth benefits of retail enterprises: The moderating effect of competition intensity [J]. School of Business and Economic Studies, 2021(16): 126-129.
[5] Song H, Gao X. Green supply chain game model and analysis under revenue-sharing contract [J]. Journal of Cleaner Production, 2017, 170.
[6] Wang J, Si F S. Stability analysis and control of time-delay price Game model for a class of low carbon products [J]. Journal of Shenyang University (Natural Science), 2018, 30(05): 372-376.
[7] J. J. Wei, H. B. Wang, W. H. Jiang, Bibranching Theory and Application of Delay Differential Equations , Beijing: Science Press. 2012.
[8] Hassard B D, Kazarinoff N D, Wan Y H.Theory and Applications of Hopf Bifurcation[M]. Cambridge: Cambridge University Press. 1981.

Citation :

Na Han, Yanhui Zhai, "Stability Analysis of Low Carbon Product Price Game Model with Double Delay," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 8, pp. 142-149, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I8P516

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