Global Stability of Delayed Viral Infection Models with Nonlinear Antibody and CTL Immune Responses and General Incidence Rate
Joint Authors
Teng, Zhi-Dong
Li, Zhiming
Miao, Hui
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-15
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The dynamical behaviors for a five-dimensional viral infection model with three delays which describes the interactions of antibody, cytotoxic T-lymphocyte (CTL) immune responses, and nonlinear incidence rate are investigated.
The threshold values for viral infection, antibody response, CTL immune response, CTL immune competition, and antibody competition, respectively, are established.
Under certain assumptions, the threshold value conditions on the global stability of the infection-free, immune-free, antibody response, CTL immune response, and interior equilibria are proved by using the Lyapunov functionals method, respectively.
Immune delay as a bifurcation parameter is further investigated.
The numerical simulations are performed in order to illustrate the dynamical behavior of the model.
American Psychological Association (APA)
Miao, Hui& Teng, Zhi-Dong& Li, Zhiming. 2016. Global Stability of Delayed Viral Infection Models with Nonlinear Antibody and CTL Immune Responses and General Incidence Rate. Computational and Mathematical Methods in Medicine،Vol. 2016, no. 2016, pp.1-21.
https://search.emarefa.net/detail/BIM-1100124
Modern Language Association (MLA)
Miao, Hui…[et al.]. Global Stability of Delayed Viral Infection Models with Nonlinear Antibody and CTL Immune Responses and General Incidence Rate. Computational and Mathematical Methods in Medicine No. 2016 (2016), pp.1-21.
https://search.emarefa.net/detail/BIM-1100124
American Medical Association (AMA)
Miao, Hui& Teng, Zhi-Dong& Li, Zhiming. Global Stability of Delayed Viral Infection Models with Nonlinear Antibody and CTL Immune Responses and General Incidence Rate. Computational and Mathematical Methods in Medicine. 2016. Vol. 2016, no. 2016, pp.1-21.
https://search.emarefa.net/detail/BIM-1100124
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1100124