Stability Analysis for Viral Infection Model with Multitarget Cells, Beddington-DeAngelis Functional Response, and Humoral Immunity
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-17
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We formulate a ( 2n+2 )-dimensional viral infection model with humoral immunity, n classes of uninfected target cells and n classes of infected cells.
The incidence rate of infection is given by nonlinear incidence rate, Beddington-DeAngelis functional response.
The model admits discrete time delays describing the time needed for infection of uninfected target cells and virus replication.
By constructing suitable Lyapunov functionals, we establish that the global dynamics are determined by two sharp threshold parameters: R 0 and R 1 .
Namely, a typical two-threshold scenario is shown.
If R 0 ≤ 1 , the infection-free equilibrium P 0 is globally asymptotically stable, and the viruses are cleared.
If R 1 ≤ 1 < R 0 , the immune-free equilibrium P 1 is globally asymptotically stable, and the infection becomes chronic but with no persistent antibody immune response.
If R 1 > 1 , the endemic equilibrium P 2 is globally asymptotically stable, and the infection is chronic with persistent antibody immune response.
American Psychological Association (APA)
Tian, Xinxin& Wang, Jinliang. 2015. Stability Analysis for Viral Infection Model with Multitarget Cells, Beddington-DeAngelis Functional Response, and Humoral Immunity. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1060718
Modern Language Association (MLA)
Tian, Xinxin& Wang, Jinliang. Stability Analysis for Viral Infection Model with Multitarget Cells, Beddington-DeAngelis Functional Response, and Humoral Immunity. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1060718
American Medical Association (AMA)
Tian, Xinxin& Wang, Jinliang. Stability Analysis for Viral Infection Model with Multitarget Cells, Beddington-DeAngelis Functional Response, and Humoral Immunity. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1060718
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060718