Spatiotemporal dynamics of a delayed IS-LM model with interest rate and general investment function
Volume 31, Issue 1, pp 70--80
http://dx.doi.org/10.22436/jmcs.031.01.06
Publication Date: April 14, 2023
Submission Date: January 13, 2023
Revision Date: February 14, 2023
Accteptance Date: February 28, 2023
Authors
M. Elkarmouchi
- Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick, Hassan II University of Casablanca, P.O. Box 7955 Sidi Othman, Casablanca, Morocco.
S. Lasfar
- Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick, Hassan II University of Casablanca, P.O. Box 7955 Sidi Othman, Casablanca, Morocco.
Kh. Hattaf
- Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick, Hassan II University of Casablanca, P.O. Box 7955 Sidi Othman, Casablanca, Morocco.
- Equipe de Recherche en Modélisation et Enseignement des Mathématiques (ERMEM), Centre Régional des Métiers de l’Education et de la Formation (CRMEF), 20340 Derb Ghalef, Casablanca, Morocco.
N. Yousfi
- Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick, Hassan II University of Casablanca, P.O. Box 7955 Sidi Othman, Casablanca, Morocco.
Abstract
In this paper, we develop a mathematical model that describes the spatiotemporal dynamics of business cycle under the goods and services market as well as the money market. We first prove that the developed model is mathematically and economically well-posed. The conditions for the existence of economic equilibrium are rigorously established. Moreover, the stability analysis and the existence of Hopf bifurcation are carefully investigated. Finally, our theoretical results are illustrated with some numerical simulations.
Share and Cite
ISRP Style
M. Elkarmouchi, S. Lasfar, Kh. Hattaf, N. Yousfi, Spatiotemporal dynamics of a delayed IS-LM model with interest rate and general investment function, Journal of Mathematics and Computer Science, 31 (2023), no. 1, 70--80
AMA Style
Elkarmouchi M., Lasfar S., Hattaf Kh., Yousfi N., Spatiotemporal dynamics of a delayed IS-LM model with interest rate and general investment function. J Math Comput SCI-JM. (2023); 31(1):70--80
Chicago/Turabian Style
Elkarmouchi, M., Lasfar, S., Hattaf, Kh., Yousfi, N.. "Spatiotemporal dynamics of a delayed IS-LM model with interest rate and general investment function." Journal of Mathematics and Computer Science, 31, no. 1 (2023): 70--80
Keywords
- IS-LM model
- reaction-diffusion equations
- time delay
- asymptotic stability
- Hopf bifurcation
MSC
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