Open Access Open Access  Restricted Access Subscription or Fee Access

Dynamical System of Hepatitis B in Three Groups with Vaccination

Arisa Febrianiza, Jaharuddin, Endar Hasafah Nugrahani

Abstract



This study aims to modify the hepatitis B transmission model in three age groups involving vaccination from the model conducted by Zhoe and Zhang. The method used is to analyze the stability of the fixed point and its basic reproduction number. Performed stability analysis and numerical simulation to see population dynamics. Next, a sensitivity analysis of the parameters was carried out to see its effect. From the analysis obtained two fixed points, namely disease-free and disease-endemic equilibrium. The disease-free equilibrium is locally asymptotically stable. Meanwhile, the disease-endemic equilibrium is locally asymptotically stable. Hepatitis vaccination affects the number of susceptible population, because the more successful the vaccination, the smaller the
number of susceptible populations so that the smaller the population will be infected.

Keywords


Dynamic, Hepatitis B, Vaccine, Mathematical model.

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.