Stability Analysis for a Fractional HIV Infection Model with Nonlinear Incidence-Reference-Cited by-同舟云学术

Stability Analysis for a Fractional HIV Infection Model with Nonlinear Incidence

Published:2015 Issue: Volume:2015 Page:1-11
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Zhang Linli¹^ORCID,Huang Gang²^ORCID,Liu Anping²,Fan Ruili³

Affiliation:

1. Department of Basic Course, Haikou College of Economics, Haikou 571127, China

2. School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China

3. Department of Mathematics and Statistics, University of Helsinki, 00014 Helsinki, Finland

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.

Funder

Hainan Natural Science Foundation

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2015/563127.pdf

Reference28 articles.

1. Digital fractional order operators for R-wave detection in electrocardiogram signal

2. SOME APPLICATIONS OF FRACTIONAL ORDER CALCULUS TO DESIGN DIGITAL FILTERS FOR BIOMEDICAL SIGNAL PROCESSING

3. Efficient Generation of $1/f^{\beta}$ Noise Using Signal Modeling Techniques

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