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Stability and Hopf Bifurcation in a Delayed HIV Infection Model with General Incidence Rate and Immune Impairment
Joint Authors
Li, Dan
Li, Fuxiang
Jiang, Zhichao
Ma, Wanbiao
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-04
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We investigate the dynamical behavior of a delayed HIV infection model with general incidence rate and immune impairment.
We derive two threshold parameters, the basic reproduction number R 0 and the immune response reproduction number R 1 .
By using Lyapunov functional and LaSalle invariance principle, we prove the global stability of the infection-free equilibrium and the infected equilibrium without immunity.
Furthermore, the existence of Hopf bifurcations at the infected equilibrium with CTL response is also studied.
By theoretical analysis and numerical simulations, the effect of the immune impairment rate on the stability of the infected equilibrium with CTL response has been studied.
American Psychological Association (APA)
Li, Fuxiang& Ma, Wanbiao& Jiang, Zhichao& Li, Dan. 2015. Stability and Hopf Bifurcation in a Delayed HIV Infection Model with General Incidence Rate and Immune Impairment. Computational and Mathematical Methods in Medicine،Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1057832
Modern Language Association (MLA)
Li, Fuxiang…[et al.]. Stability and Hopf Bifurcation in a Delayed HIV Infection Model with General Incidence Rate and Immune Impairment. Computational and Mathematical Methods in Medicine No. 2015 (2015), pp.1-14.
https://search.emarefa.net/detail/BIM-1057832
American Medical Association (AMA)
Li, Fuxiang& Ma, Wanbiao& Jiang, Zhichao& Li, Dan. Stability and Hopf Bifurcation in a Delayed HIV Infection Model with General Incidence Rate and Immune Impairment. Computational and Mathematical Methods in Medicine. 2015. Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1057832
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1057832