![](/images/graphics-bg.png)
Dynamics Analysis of an HIV Infection Model including Infected Cells in an Eclipse Stage
Joint Authors
Zhou, Shengyu
Hu, Zhixing
Liao, Fucheng
Ma, Wanbiao
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-12
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, an HIV infection model including an eclipse stage of infected cells is considered.
Some quicker cells in this stage become productively infected cells, a portion of these cells are reverted to the uninfected class, and others will be latent down in the body.
We consider CTL-response delay in this model and analyze the effect of time delay on stability of equilibrium.
It is shown that the uninfected equilibrium and CTL-absent infection equilibrium are globally asymptotically stable for both ODE and DDE model.
And we get the global stability of the CTL-present equilibrium for ODE model.
For DDE model, we have proved that the CTL-present equilibrium is locally asymptotically stable in a range of delays and also have studied the existence of Hopf bifurcations at the CTL-present equilibrium.
Numerical simulations are carried out to support our main results.
American Psychological Association (APA)
Zhou, Shengyu& Hu, Zhixing& Ma, Wanbiao& Liao, Fucheng. 2013. Dynamics Analysis of an HIV Infection Model including Infected Cells in an Eclipse Stage. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-470758
Modern Language Association (MLA)
Zhou, Shengyu…[et al.]. Dynamics Analysis of an HIV Infection Model including Infected Cells in an Eclipse Stage. Journal of Applied Mathematics No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-470758
American Medical Association (AMA)
Zhou, Shengyu& Hu, Zhixing& Ma, Wanbiao& Liao, Fucheng. Dynamics Analysis of an HIV Infection Model including Infected Cells in an Eclipse Stage. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-470758
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470758