DocumentCode
2591411
Title
Stability analysis for a fractional HIV-1 model with time delay
Author
Yan, Ye ; Kou, Chunhai
Author_Institution
Coll. of Inf. Sci. & Technol., Donghua Univ., Shanghai, China
Volume
4
fYear
2011
fDate
15-17 Oct. 2011
Firstpage
1867
Lastpage
1871
Abstract
In this paper, we introduce fractional-order derivatives into a model of HIV-1 infection with time delay. We study the effect of the time delay on the stability of both the viral free equilibrium and the infected equilibrium. Criteria are given to ensure that both the equilibria are asymptotically stable for all delays under some condition. Numerical simulations are carried out to illustrate the results.
Keywords
delays; diseases; medical computing; microorganisms; numerical analysis; physiological models; stability; fractional HIV-1 model; fractional order derivatives; infected equilibrium; numerical simulations; stability analysis; time delay; viral free equilibrium; Analytical models; Asymptotic stability; Delay effects; Mathematical model; Numerical models; Predator prey systems; Stability analysis; HIV-1 infection; asymptotic stability; fractional-order; time delay;
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.2011.6098732
Filename
6098732
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