Dynamic behavior in a HIV infection model for the delayed immune response

Author

Wang, Yongzhao ; Huang, Dongwei ; Zhang, Shuangde ; Liu, Hongjie

Author_Institution

Sch. of Sci., Tianjin Polytech. Univ., Tianjin, China

Volume

4

fYear

2011

fDate

15-17 Oct. 2011

Firstpage

1834

Lastpage

1838

Abstract

Considering full Logistic proliferation of CD4+ T-cells and retarded immune response, we analyze a HIV model in this paper. Global asymptotic stability of the infection-free equilibrium and immune-absent equilibrium is investigated, and Some conditions for Hopf bifurcation around infected equilibrium to occur are also obtained. Numerical simulating are presented to illustrate the main results, and we can observe the effects of the proliferation rate of CD4+ T-cells for the dynamics of system. This results can explain the complexity of the immune state of AIDS.

Keywords

bifurcation; cellular biophysics; diseases; medical computing; numerical analysis; physiological models; AIDS; CD4+ T-cells; HIV infection model; Hopf bifurcation; delayed immune response; dynamic behavior; full logistic cell proliferation; global asymptotic stability; immune state; immune-absent equilibrium; infection-free equilibrium; numerical simulation; Asymptotic stability; Bifurcation; Human immunodeficiency virus; Immune system; Mathematical model; Stability analysis; Trajectory; Delayed immune response; Global stability; Logistic proliferation;

fLanguage

English

Publisher

ieee

Conference_Titel

Biomedical Engineering and Informatics (BMEI), 2011 4th International Conference on

Conference_Location

Shanghai

Print_ISBN

978-1-4244-9351-7

Type

conf

DOI

10.1109/BMEI.2011.6098720

Filename

6098720