Mathematical analysis of a spatiotemporal dynamics of a delayed IS-LM model in economics

2024;
: pp. 189–202
https://doi.org/10.23939/mmc2024.01.189
Received: June 27, 2023
Revised: February 24, 2024
Accepted: February 24, 2024

Elkarmouchi M., Lasfar S., Hattaf K., Yousfi N.  Mathematical analysis of a spatiotemporal dynamics of a delayed IS-LM model in economics.  Mathematical Modeling and Computing. Vol. 11, No. 1, pp. 189–202 (2024)

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
3
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)
4
Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M'Sick, Hassan II University of Casablanca

The purpose of this research is to suggest and analyze a spatiotemporal of an IS-LM model with two delays, interest rate, liquidity preference and general investment function.  The first delay into the proposed model refers to the time delay between the decision of investment and his implementation.  However, the second one represents the delay in investment production.  The well posedness of the model is proved.  The stability analysis and the existence of Hopf bifurcation are obtained.  Furthermore, numerical examples that confirm the analytical results are shown.

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