Modeling the adaptive immune response in HBV infection

Noura Yousfi, Khalid Hattaf, Abdessamad Tridane

Research output: Contribution to journalArticlepeer-review

90 Citations (Scopus)


The aim of this work is to investigate a new mathematical model that describes the interactions between Hepatitis B virus (HBV), liver cells (hepatocytes), and the adaptive immune response. The qualitative analysis of this as cytotoxic T lymphocytes (CTL) cells and the antibodies. These outcomes are (1) a disease free steady state, which its local stability is characterized as usual by R 0 < 1, (2) and the existence of four endemic steady states when R 0 > 1. The local stability of these steady states depends on functions of R 0. Our study shows that although we give conditions of stability of these steady states, not all conditions are feasible. This rules out the local stability of two steady states. The conditions of stability of the two other steady states (which represent the complete failure of the adaptive immunity and the persistence of the disease) are formulated based on the domination of CTL cells response or the antibody response.

Original languageEnglish
Pages (from-to)933-957
Number of pages25
JournalJournal of Mathematical Biology
Issue number5
Publication statusPublished - Nov 2011
Externally publishedYes


  • Antibody responses
  • Basic infection reproduction number
  • Cytotoxic T lymphocytes
  • HBV
  • Ratio-dependent

ASJC Scopus subject areas

  • Modelling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics


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