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
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;
Conference_Titel :
Biomedical Engineering and Informatics (BMEI), 2011 4th International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-9351-7
DOI :
10.1109/BMEI.2011.6098732
