• DocumentCode
    636006
  • Title

    Hopf bifurcations in a mathematical model of HIV-1 infection with delay

  • Author

    Bundau, Olivia ; Juratoni, Adina ; Kovacs, Andras

  • Author_Institution
    Dept. of Math., Politeh. Univ. of Timisoara, Timisoara, Romania
  • fYear
    2013
  • fDate
    23-25 May 2013
  • Firstpage
    201
  • Lastpage
    204
  • Abstract
    In this paper we consider the model with time delay from [7], which describe the dynamics of HIV-1 infection. This model presents a Hopf bifurcation. We determine the direction and stability of the bifurcating periodic solutions by applying the normal form theory and the center manifold theorem.
  • Keywords
    bifurcation; delays; diseases; health care; mathematical analysis; stability; HIV-1 infection dynamics; Hopf bifurcations; bifurcating periodic solutions; center manifold theorem; disease; human immunodeficiency virus; mathematical model; normal form theory; stability; time delay; Bifurcation; Delay effects; Delays; Human immunodeficiency virus; Manifolds; Mathematical model; Stability analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Applied Computational Intelligence and Informatics (SACI), 2013 IEEE 8th International Symposium on
  • Conference_Location
    Timisoara
  • Print_ISBN
    978-1-4673-6397-6
  • Type

    conf

  • DOI
    10.1109/SACI.2013.6608967
  • Filename
    6608967