Electron. J. Diff. Eqns., Vol. 2008(2008), No. 134, pp. 1-9.

Fluctuations in a mixed IS-LM business cycle model

Abdelilah Kaddar, Hamad Talibi Alaoui

Abstract:
In the present paper, we extend a delayed IS-LM business cycle model by introducing an additional advance (anticipated capital stock) in the investment function. The resulting model is represented in terms of mixed differential equations. For the deviating argument $\tau$ (advance and delay) being a bifurcation parameter we investigate the local stability and the local Hopf bifurcation. Also some numerical simulations are given to support the theoretical analysis.

Submitted June 21, 2008. Published September 26, 2008.
Math Subject Classifications: 37G15, 91B62.
Key Words: IS-LM business cycle; mixed differential equations; Hopf bifurcation; periodic solutions.

Show me the PDF file (278 KB), TEX file, and other files for this article.

Abdelilah Kaddar
Department of Mathematics, Faculty of Sciences
Chouaib Doukkali University, PO Box 20, El Jadida, Morocco
email: a.kaddar@yahoo.fr
Hamad Talibi Alaoui
Department of Mathematics, Faculty of Sciences
Chouaib Doukkali University, PO Box 20, El Jadida, Morocco
email: talibi_1@hotmail.fr

Return to the EJDE web page