Stability Analysis for a Fractional HIV Infection Model with Nonlinear Incidence

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Zhang , L , Huang , G , Liu , A & Fan , R 2015 , ' Stability Analysis for a Fractional HIV Infection Model with Nonlinear Incidence ' Discrete Dynamics in Nature and Society . DOI: 10.1155/2015/563127

Title: Stability Analysis for a Fractional HIV Infection Model with Nonlinear Incidence
Author: Zhang, Linli; Huang, Gang; Liu, Anping; Fan, Ruili
Other contributor: University of Helsinki, Department of Mathematics and Statistics
Date: 2015
Language: eng
Number of pages: 11
Belongs to series: Discrete Dynamics in Nature and Society
ISSN: 1026-0226
DOI: https://doi.org/10.1155/2015/563127
URI: http://hdl.handle.net/10138/162392
Abstract: We introduce the fractional-order derivatives into an HIV infection model with nonlinear incidence and show that the established model in this paper possesses nonnegative solution, as desired in any population dynamics. We also deal with the stability of the infection-free equilibrium, the immune-absence equilibrium, and the immune-presence equilibrium. Numerical simulations are carried out to illustrate the results.
Subject: DIFFERENTIAL-EQUATIONS
GLOBAL PROPERTIES
T-CELLS
DYNAMICS
ORDER
SIGNAL
DELAY
111 Mathematics
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