Modeling Inhibitory Effect on the Growth of Uninfected T Cells Caused by Infected T Cells: Stability and Hopf Bifurcation
Joint Authors
Ji, Yahui
Song, Keying
Ma, Wanbiao
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-12
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We consider a class of viral infection dynamic models with inhibitory effect on the growth of uninfected T cells caused by infected T cells and logistic target cell growth.
The basic reproduction number R0 is derived.
It is shown that the uninfected equilibrium is globally asymptotically stable if R0<1.
Sufficient conditions for the existence of Hopf bifurcation at the infected equilibrium are investigated by analyzing the distribution of eigenvalues.
Furthermore, the properties of Hopf bifurcation are determined by the normal form theory and the center manifold.
Numerical simulations are carried out to support the theoretical analysis.
American Psychological Association (APA)
Ji, Yahui& Ma, Wanbiao& Song, Keying. 2018. Modeling Inhibitory Effect on the Growth of Uninfected T Cells Caused by Infected T Cells: Stability and Hopf Bifurcation. Computational and Mathematical Methods in Medicine،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1131899
Modern Language Association (MLA)
Ji, Yahui…[et al.]. Modeling Inhibitory Effect on the Growth of Uninfected T Cells Caused by Infected T Cells: Stability and Hopf Bifurcation. Computational and Mathematical Methods in Medicine No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1131899
American Medical Association (AMA)
Ji, Yahui& Ma, Wanbiao& Song, Keying. Modeling Inhibitory Effect on the Growth of Uninfected T Cells Caused by Infected T Cells: Stability and Hopf Bifurcation. Computational and Mathematical Methods in Medicine. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1131899
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131899