A fractional-order differential equation model of HIV infection of CD4+ T-cells

Authors:
Yongsheng Ding;Haiping Ye
Affiliations:
College of Information Sciences and Technology, Donghua University, Shanghai 201620, PR China and Engineering Research Center of Digitized Textile & Fashion Technology, Ministry of Education, Dong ...;College of Information Sciences and Technology, Donghua University, Shanghai 201620, PR China and Department of Applied Mathematics, Donghua University, Shanghai 201620, PR China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2009

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Abstract

In this paper, we introduce fractional-order into a model of HIV infection of CD4^+ T-cells. We show that the model established in this paper possesses non-negative solutions, as desired in any population dynamics. We also carry out a detailed analysis on the stability of equilibrium. Numerical simulations are presented to illustrate the results.