Open Access Open Access  Restricted Access Subscription or Fee Access

Hopf Bifurcation Analysis In a Delayed SIR Model

Abdelhadi Abta, Hamad Talibi Alaoui, Abdelilah KADDAR

Abstract


In this paper, we analyze a delayed SIR epidemic model with saturated incidence rate. Our goal in this model is to introduce the incubation period into susceptible and infectious individuals in the incidence rate. The dynamics are studied in terms of local stability and of the description of the Hopf bifurcation, that is proven to exist as the delay (taken as a parameter of bifurcation) cross some critical value. Additionally we conclude with a numerical
illustrations.

Keywords


SIR epidemic model, delayed differential equations, Hopf bifurcation, periodic solutions.

Full Text:

PDF


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. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.