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
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;
Conference_Titel :
Applied Computational Intelligence and Informatics (SACI), 2013 IEEE 8th International Symposium on
Conference_Location :
Timisoara
Print_ISBN :
978-1-4673-6397-6
DOI :
10.1109/SACI.2013.6608967
