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 |
| Rights: |
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