Global analysis for an HIV infection model with CTL immune response and infected cells in eclipse phase

Karam Allali, Jaouad Danane, Yang Kuang

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

A modified mathematical model describing the human immunodeficiency virus (HIV) pathogenesis with cytotoxic T-lymphocytes (CTL) and infected cells in eclipse phase is presented and studied in this paper. The model under consideration also includes a saturated rate describing viral infection. First, the positivity and boundedness of solutions for nonnegative initial data are proved. Next, the global stability of the disease free steady state and the endemic steady states are established depending on the basic reproduction number R0 and the CTL immune response reproduction number RCTL . Moreover, numerical simulations are performed in order to show the numerical stability for each steady state and to support our theoretical findings. Our model based findings suggest that system immunity represented by CTL may control viral replication and reduce the infection.

Original languageEnglish (US)
Article number861
JournalApplied Sciences (Switzerland)
Volume7
Issue number8
DOIs
StatePublished - Aug 21 2017

Keywords

  • CTL immune response
  • Global stability
  • HIV infection model
  • Viral dynamics

ASJC Scopus subject areas

  • Materials Science(all)
  • Instrumentation
  • Engineering(all)
  • Process Chemistry and Technology
  • Computer Science Applications
  • Fluid Flow and Transfer Processes

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