Open Access Open Access  Restricted Access Subscription or Fee Access

Modeling Time Delay in an SEIRS Epidemic Model

Manju Agarwal, Archana Singh Bhadauria


This paper deals with an epidemic model that incorporates constant recruitment rate, and disease latency. Time delay between the transition of individuals from exposed to infective class for the diseases with long incubation/latent period is introduced. The basic reproduction number is found and it is proved to be a sharp threshold value that completely determines the stability dynamics and the outcome of the disease. The model is analyzed using the stability theory of differential equations and numerical simulation. The model analysis shows that long incubation/latent period contributes toward the endemicity of diseases.


SEIRS model, Saturating contact rate, Stability, endemic.

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. 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.