Dynamical Analysis of a Delayed HIV Virus Dynamic Model with Cell-to-Cell Transmission and Apoptosis of Bystander Cells
Joint Authors
Song, Yi
Wang, Junling
Jiang, Zhichao
Zhang, Tongqian
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-17
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, a delayed viral dynamical model that considers two different transmission methods of the virus and apoptosis of bystander cells is proposed and investigated.
The basic reproductive number R0 of the model is derived.
Based on the basic reproductive number, we prove that the disease-free equilibrium E0 is globally asymptotically stable for R0<1 by constructing suitable Lyapunov functional.
For R0>1, by regarding the time delay as bifurcation parameter, the existence of local Hopf bifurcation is investigated.
The results show that time delay can change the stability of endemic equilibrium and cause periodic oscillations.
Finally, we give some numerical simulations to illustrate the theoretical findings.
American Psychological Association (APA)
Zhang, Tongqian& Wang, Junling& Song, Yi& Jiang, Zhichao. 2020. Dynamical Analysis of a Delayed HIV Virus Dynamic Model with Cell-to-Cell Transmission and Apoptosis of Bystander Cells. Complexity،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1140899
Modern Language Association (MLA)
Zhang, Tongqian…[et al.]. Dynamical Analysis of a Delayed HIV Virus Dynamic Model with Cell-to-Cell Transmission and Apoptosis of Bystander Cells. Complexity No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1140899
American Medical Association (AMA)
Zhang, Tongqian& Wang, Junling& Song, Yi& Jiang, Zhichao. Dynamical Analysis of a Delayed HIV Virus Dynamic Model with Cell-to-Cell Transmission and Apoptosis of Bystander Cells. Complexity. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1140899
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1140899