A fractional order model for the transmission dynamics of hepatitis B virus with two-age structure in the presence of vaccination
Joint Authors
Tilahun, Getachew Teshome
Woldegerima, Woldegebriel Assefa
Muhammad, Nasr al-Din
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 28, Issue 1 (31 Dec. 2021), pp.87-106, 20 p.
Publisher
University of Bahrain College of Science
Publication Date
2021-12-31
Country of Publication
Bahrain
No. of Pages
20
Main Subjects
Abstract EN
In this study, we proposed a fractional order model of hepatitis B virus transmission dynamics with two-age structure under vaccination.
A qualitative analysis of the model is performed.
Basic reproduction number of the model is determined.
Local stability conditions of disease-free equilibrium point are proven by using fractional Ruth-Hurwitz conditions.
Global stability conditions of both disease-free and endemic equilibrium points are shown by constructing appropriate Lyapunov functions.
Sensitivity analysis was done by using normalized forward sensitivity index approach.
Numerical simulation is performed to investigate the effect of memory on hepatitis B disease dynamics by varying order of derivatives and to simulate the effects of vaccinating newborns immediately after birth, vaccinating children and adult vaccination.
Then, we compared their effects on hepatitis B disease dynamics in the sense of control and elimination.
It is observed that the number of infective individuals decreases faster and even falls to zero over a long run for the model with memory than memory-less model.
Comparing results between vaccination of different ages show that increasing newborn vaccination immediately after birth has the highest effect on hepatitis B disease control.
American Psychological Association (APA)
Tilahun, Getachew Teshome& Woldegerima, Woldegebriel Assefa& Muhammad, Nasr al-Din. 2021. A fractional order model for the transmission dynamics of hepatitis B virus with two-age structure in the presence of vaccination. Arab Journal of Basic and Applied Sciences،Vol. 28, no. 1, pp.87-106.
https://search.emarefa.net/detail/BIM-1340614
Modern Language Association (MLA)
Tilahun, Getachew Teshome…[et al.]. A fractional order model for the transmission dynamics of hepatitis B virus with two-age structure in the presence of vaccination. Arab Journal of Basic and Applied Sciences Vol. 28, no. 1 (2021), pp.87-106.
https://search.emarefa.net/detail/BIM-1340614
American Medical Association (AMA)
Tilahun, Getachew Teshome& Woldegerima, Woldegebriel Assefa& Muhammad, Nasr al-Din. A fractional order model for the transmission dynamics of hepatitis B virus with two-age structure in the presence of vaccination. Arab Journal of Basic and Applied Sciences. 2021. Vol. 28, no. 1, pp.87-106.
https://search.emarefa.net/detail/BIM-1340614
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 104-106
Record ID
BIM-1340614