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  4. A generalized diffusive IS-LM business cycle model with delays in gross product and capital stock

A generalized diffusive IS-LM business cycle model with delays in gross product and capital stock

MMC.
2024;
Volume 11, Number 2
: pp. 470–480
https://doi.org/10.23939/mmc2024.02.470
Received: January 04, 2024
Revised: April 28, 2024
Accepted: May 03, 2024

Elkarmouchi M., Hattaf K., Yousfi N.  A generalized diffusive IS-LM business cycle model with delays in gross product and capital stock.  Mathematical Modeling and Computing. Vol. 11, No. 2, pp. 470–480 (2024)

Authors:
  1. M. Elkarmouchi
  2. K. Hattaf
  3. N. Yousfi
1
Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M'Sick, Hassan II University of Casablanca
2
Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M'Sick, Hassan II University of Casablanca; Equipe de Recherche en Modélisation et Enseignement des Mathématiques (ERMEM), Centre Régional des Métiers de l'Education et de la Formation (CRMEF)
3
Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M'Sick, Hassan II University of Casablanca

In this paper, we suggest a diffusive and delayed IS-LM business cycle model with interest rate, general investment and money supply under homogeneous Neumann boundary conditions.  The time delays are respectively incorporated into capital stock and gross product.  We first demonstrate the model's sound mathematical and economic posing.  By examining the corresponding characteristic equation, the local stability of the economic equilibrium and the existence of Hopf bifurcation are proved.

economics
diffusion
stability
time delays
Hopf bifurcation
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