Open Access Open Access  Restricted Access Subscription Access

Direction of Hopf bifurcation in a Delayed Kaldor-Kalecki Model of Business Cycle

M. El Fatini, A. Kaddar, A. Laaribi


We are concerned with the Kaldor-Kalecki cycle model under the effect of a delay which represents a gestation lag between a decision of investment and its effect on the capital stock. The dynamics are studied in terms of local stability and of the description of the Hopf bifurcation, when the delay cross some critical value. Furthermore we formulate an explicit algorithm about the direction of Hopf bifurcation and we conclude with an application.


Kaldor-Kalecki business cycle, delayed differential equations, Hopf bifurcation.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.