Stability Analysis for a Fractional HIV Infection Model with Nonlinear Incidence
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-ab...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/563127 |
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| _version_ | 1832564426886086656 |
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| author | Linli Zhang Gang Huang Anping Liu Ruili Fan |
| author_facet | Linli Zhang Gang Huang Anping Liu Ruili Fan |
| author_sort | Linli Zhang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b9496cf3f6ee4bd98269fb00b8005860 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b9496cf3f6ee4bd98269fb00b80058602025-02-03T01:11:04ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/563127563127Stability Analysis for a Fractional HIV Infection Model with Nonlinear IncidenceLinli Zhang0Gang Huang1Anping Liu2Ruili Fan3Department of Basic Course, Haikou College of Economics, Haikou 571127, ChinaSchool of Mathematics and Physics, China University of Geosciences, Wuhan 430074, ChinaSchool of Mathematics and Physics, China University of Geosciences, Wuhan 430074, ChinaDepartment of Mathematics and Statistics, University of Helsinki, 00014 Helsinki, FinlandWe 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.http://dx.doi.org/10.1155/2015/563127 |
| spellingShingle | Linli Zhang Gang Huang Anping Liu Ruili Fan Stability Analysis for a Fractional HIV Infection Model with Nonlinear Incidence Discrete Dynamics in Nature and Society |
| title | Stability Analysis for a Fractional HIV Infection Model with Nonlinear Incidence |
| title_full | Stability Analysis for a Fractional HIV Infection Model with Nonlinear Incidence |
| title_fullStr | Stability Analysis for a Fractional HIV Infection Model with Nonlinear Incidence |
| title_full_unstemmed | Stability Analysis for a Fractional HIV Infection Model with Nonlinear Incidence |
| title_short | Stability Analysis for a Fractional HIV Infection Model with Nonlinear Incidence |
| title_sort | stability analysis for a fractional hiv infection model with nonlinear incidence |
| url | http://dx.doi.org/10.1155/2015/563127 |
| work_keys_str_mv | AT linlizhang stabilityanalysisforafractionalhivinfectionmodelwithnonlinearincidence AT ganghuang stabilityanalysisforafractionalhivinfectionmodelwithnonlinearincidence AT anpingliu stabilityanalysisforafractionalhivinfectionmodelwithnonlinearincidence AT ruilifan stabilityanalysisforafractionalhivinfectionmodelwithnonlinearincidence |