International Journal of Engineering, Science and Mathematics
  • Year: 2021
  • Volume: 10
  • Issue: 7

Stability properties of quantum impulsive solow growth model

  • Author:
  • L.A Abimbola*, O.A Ayansola, J.T Olajide
  • Total Page Count: 10
  • Page Number: 10 to 19

The Polytechnic Ibadan, Ibadan, Nigeria

*abimbolalatifat@yahoo.com

Online published on 15 September, 2023.

Abstract

We generalize impulsive Solow growth model to quantum calculus of Hudsonand Parthasarathy formulation, we investigate boundedness and stability of solution of economic model that are subject to instantaneous perturbationsdue to endogenous delays. We apply the direct Lyapunov method in establishing sufficient conditions for uniform, ultimate boundedness and uniform, asymptoticstability of thes olutions.

Keywords

Direct Lyapunov method, Uniform asymptotic stability, Uniform ultimate boundedness, Quantum Impulsive Solow Growth Model