Open Access Open Access  Restricted Access Subscription or Fee Access

Effect of isolation in an infectious disease

T. K. Kar, Soovoojeet Jana, Abhijit Ghorai

Abstract


In this research work we have proposed and analyzed an SIR epidemic model of an infectious disease incorporating constant isolation for the susceptible individual. By carrying out the global analysis of the model and studying the stability of the disease free equilibrium and endemic equilibrium, we show that isolation would be highly effective to control the infectious disease. It is shown that the model undergoes a transcritical bifurcation and Hopf bifurcation. Also center manifold theorem and normal form method are used to find the nature of the Hopf bifurcation as well as the nature of the bifurcating limit cycle. All the analytical results are verified through numerical simulations.

Keywords


Epidemic model, nonlinear incidence rate, isolation, basic reproduction number, transcritical bifurcation.

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.