Modelling the Effects of Carriers on the Transmission Dynamics of Hepatitis B Virus

Authors

  • O. Abu Department of Mathematics and Statistics, Federal Polytechnic, Idah, Nigeria
  • S. E. Onalo Department of Mathematics and Statistics, Federal Polytechnic, Idah, Nigeria
  • M. Emeje Department of Mathematics and Statistics, Federal Polytechnic, Idah, Nigeria

Keywords:

Hepatitis B, mathematical model, basic reproduction number, diseasefree equilibrium state, endemic equilibrium state, stability centre manifold theory

Abstract

In the last couple of decades, mathematical models have been used to study the
transmission dynamics of Hepatitis B Virus (HBV) in various communities, regions
and countries. Therefore, this study aims at evaluating the effect of screening,
vaccination and treatment on the transmission dynamics of hepatitis B virus. A
mathematical model is designed to study the effects of carriers on the transmission
dynamics of Hepatitis B. The basic reproduction number is derived using the
next generation method. The local stability of the disease-free equilibrium state
is established via the basic reproduction number. Also, the local stability of the
endemic equilibrium state is proved using the centre manifold theory. It is revealed
that using item iv of theorem 1, the unique endemic equilibrium for model system
(8 – 12) exists and is locally asymptomatically stable whenever R0
> 1

Author Biography

S. E. Onalo, Department of Mathematics and Statistics, Federal Polytechnic, Idah, Nigeria



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Published

2013-08-01

How to Cite

Abu, O., Onalo, S. E., & Emeje, M. (2013). Modelling the Effects of Carriers on the Transmission Dynamics of Hepatitis B Virus. International Journal of Health and Medical Information (IJHMI), 3(1), 48–55. Retrieved from http://icidr.org.ng/index.php/Ijhmi/article/view/653

Issue

Vol. 3 No. 1

Section

Articles