A Delay Virus Dynamics Model with General Incidence Rate

Khalid Hattaf, Noura Yousfi, Abdessamad Tridane

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)


In this paper, the dynamical behavior of a virus dynamics model with general incidence rate and intracellular delay is studied. Lyapunov functionals are constructed and LaSalle invariance principle for delay differential equation is used to establish the global asymptotic stability of the disease-free equilibrium and the chronic infection equilibrium. The results obtained show that the global dynamics are completely determined by the value of a certain threshold parameter called the basic reproduction number R0 and under some assumptions on the general incidence function. Our results extend the known results on delay virus dynamics considered in other papers and suggest useful methods to control virus infection. These results can be applied to a variety of possible incidence functions that could be used in virus dynamics model as well as epidemic models.

Original languageEnglish
Pages (from-to)181-190
Number of pages10
JournalDifferential Equations and Dynamical Systems
Issue number2
Publication statusPublished - Apr 2014
Externally publishedYes


  • General incidence rate
  • Global stability
  • Intracellular delay
  • Lyapunov functional
  • Virus dynamics

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


Dive into the research topics of 'A Delay Virus Dynamics Model with General Incidence Rate'. Together they form a unique fingerprint.

Cite this