Modelling and analysis of a within-host model of hepatitis B and D co-infections

Authors

  • Plaire Tchinda Mouofo University of Yaounde I
  • Jean Jules Tewa
  • Samuel Bowong

DOI:

https://doi.org/10.11145/j.biomath.2018.07.219

Keywords:

Hepatitis D, Hepatitis B, Immune system, Basic reproduction number, Optimal control.

Abstract

The Hepatitis delta virus (HDV) is a defect RNA virus that requires the presence of the hepatitis virus (HBV) for cellular infection. A co-infection may result in a more severe acute disease and a higher risk of developing acute liver failure compared with those infected with HBV alone. At the present time, there has been very little to the modeling of HDV. The derivation and analysis of such a mathematical model poses difficulty as it requires the inclusion of (HBV). In this paper, a within-host model for the co-interaction of HDV and HBV is presented and rigorously analyzed. We calculate the basic reproduction number (Ro), the disease-free equilibrium, boundary equilibrium, which we define as the existence of one disease along with the complete eradication of the other disease, and the co-infection equilibrium. We determine stability criteria for the disease-free and boundary equilibrium. We also use the optimal control theory to assess the disease control. Numerical simulations have been presented to illustrate analytical results.

Downloads

Published

2018-08-07

Issue

Vol. 7 No. 1 (2018)

Section

Original Articles

License

The journal Biomath is an open access journal. All published articles are immeditely available online and the respective DOI link activated. All articles can be access for free and no reader registration of any sort is required. No fees are charged to authors for article submission or processing. Online publications are funded through volunteer work, donations and grants.

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).