Competition Among Manufacturers in Technological Innovation in the Market with Delayed Information

Authors

  • Silvério Dos Santos JSS Departamento de Computacão e Matemática-Faculdade de Filosofia, Ciências e Letras-USP
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Paulo Torresan
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Paulo Torresan
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Paulo Torresan
  • Paulo Torresan
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Paulo Torresan
  • Paulo Torresan
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Paulo Torresan
  • Paulo Torresan
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Paulo Torresan
  • Paulo Torresan
  • Paulo Torresan
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Paulo Torresan
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Paulo Torresan
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Katia A. G. Azevedo
  • Paulo Torresan
  • Paulo Torresan
  • Katia A. G. Azevedo

DOI:

https://doi.org/10.29020/nybg.ejpam.v7i2.2022

Keywords:

delay-differential equation, endogenous competition, stability, Hopf-bifurcations, innovation technology, delayed information

Abstract

The search for information in memory of technological competition
  process in the market is analysed using techniques widespread in
  biomathematics. Here we examined the effects that delayed
  information causes in choosing strategies process on the part of
  manufacturers to supplant a technology by introducing an alternative
  one. A differential-equation system with delays is presented to
  describe the dynamics of an endogenous model with memory.
  Situations of competition in which the market has several
  manufacturers using the same technologies and are in competition are
  analyzed.  Conditions for stability and existence of periodic
  oscilations by means of Hopf bifurcation is investigated.

Downloads

Published

2014-05-08

Issue

Vol. 7 No. 2: (April 2014)

Section

Mathematical Modeling and Numerical Analysis

License

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Competition Among Manufacturers in Technological Innovation in the Market with Delayed Information. (2014). European Journal of Pure and Applied Mathematics, 7(2), 156-165. https://doi.org/10.29020/nybg.ejpam.v7i2.2022