Far East Journal of Applied Mathematics

The Far East Journal of Applied Mathematics publishes original research papers and survey articles in applied mathematics, covering topics such as nonlinear dynamics, approximation theory, and mathematical modeling. It encourages papers focusing on algorithm development.

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STABILITY AND DIRECTION OF HOPF BIFURCATION OF A MODEL WITH R&D SPILLOVERS AND PRICE COMPETITION

Authors

  • Luca Guerrini

DOI:

https://doi.org/10.17654/0972096022003

Abstract

We use center manifold theory to analyze a duopoly two-stage game based on R&D spillover, consisting of two delay differential equations. Explicit formulae determining the direction of Hopf bifurcations and stability of the bifurcating periodic solutions are obtained.

Received: December 15, 2021
Accepted: December 29, 2021

References

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Published

2022-01-31

Issue

Vol. 112 (2022)

Section

Articles

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How to Cite

STABILITY AND DIRECTION OF HOPF BIFURCATION OF A MODEL WITH R&D SPILLOVERS AND PRICE COMPETITION. (2022). Far East Journal of Applied Mathematics, 112, 21-29. https://doi.org/10.17654/0972096022003