Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function

Math Biosci Eng. 2015 Aug;12(4):859-77. doi: 10.3934/mbe.2015.12.859.

Abstract

In this paper, we study an age-structured virus dynamics model with Beddington-DeAngelis infection function. An explicit formula for the basic reproductive number R0 of the model is obtained. We investigate the global behavior of the model in terms of R0: if R0 ≤ 1, then the infection-free equilibrium is globally asymptotically stable, whereas if R0 > 1, then the infection equilibrium is globally asymptotically stable. Finally, some special cases, which reduce to some known HIV infection models studied by other researchers, are considered.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Algorithms*
  • Animals
  • Computer Simulation
  • HIV / physiology*
  • HIV Infections / physiopathology*
  • HIV Infections / virology*
  • Humans
  • Models, Biological*
  • Virus Activation / physiology*
  • Virus Integration / physiology*