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
(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