Stability and Hopf bifurcation analysis of a distributed time delay energy model for sustainable economic growth

Authors

  • Massimiliano Ferrara Università "Mediterranea" di Reggio Calabria
  • Mariangela Gangemi Università Mediterranea di Reggio Calabria
  • Luca Guerrini Università Politecnica delle Marche
  • Bruno Antonio Pansera Università Mediterranea di Reggio Calabria

DOI:

https://doi.org/10.1478/AAPP.981A2

Keywords:

delay energy models, Stability, Hopf bifurcation, delay

Abstract

This paper examines the consequences of including distributed delays in an energy model. The stability behaviour of the resulting equilibrium for our dynamic system is analysed, including models with Dirac, weak and strong kernels. Applying the Hopf bifurcation theorem we determine conditions under which limit cycle motion is born in such models. The results indicate that distributed delays have an ambivalent impact on the dynamical behaviour of systems, either stabilizing or destabilizing them.

Author Biographies

  • Massimiliano Ferrara, Università "Mediterranea" di Reggio Calabria
    Dipartimento di Giurisprudenza, Economia e Scienze Umane
  • Mariangela Gangemi, Università Mediterranea di Reggio Calabria
    Dipartimento di Giurisprudenza, Economia e Scienze Umane
  • Luca Guerrini, Università Politecnica delle Marche
    Dipartimento di Management
  • Bruno Antonio Pansera, Università Mediterranea di Reggio Calabria
    Dipartimento di Giurisprudenza, Economia e Scienze Umane

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Published

2020-05-04

Issue

Vol. 98 No. 1 (2020)

Section

Articles

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