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Global Properties of Virus Dynamics Models with Multitarget Cells and Discrete-Time Delays
Joint Authors
Elaiw, A. M.
Alghamdi, Mohammad Ali
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-20
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We propose a class of virus dynamics models with multitarget cells and multiple intracellular delays and study their global properties.
The first model is a 5-dimensional system of nonlinear delay differential equations (DDEs) that describes the interaction of the virus with two classes of target cells.
The second model is a (2n+1)-dimensional system of nonlinear DDEs that describes the dynamics of the virus, n classes of uninfected target cells, and n classes of infected target cells.
The third model generalizes the second one by assuming that the incidence rate of infection is given by saturation functional response.
Two types of discrete time delays are incorporated into these models to describe (i) the latent period between the time the target cell is contacted by the virus particle and the time the virus enters the cell, (ii) the latent period between the time the virus has penetrated into a cell and the time of the emission of infectious (mature) virus particles.
Lyapunov functionals are constructed to establish the global asymptotic stability of the uninfected and infected steady states of these models.
We have proven that if the basic reproduction number R0 is less than unity, then the uninfected steady state is globally asymptotically stable, and if R0>1 (or if the infected steady state exists), then the infected steady state is globally asymptotically stable.
American Psychological Association (APA)
Elaiw, A. M.& Alghamdi, Mohammad Ali. 2011. Global Properties of Virus Dynamics Models with Multitarget Cells and Discrete-Time Delays. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-453966
Modern Language Association (MLA)
Elaiw, A. M.& Alghamdi, Mohammad Ali. Global Properties of Virus Dynamics Models with Multitarget Cells and Discrete-Time Delays. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-19.
https://search.emarefa.net/detail/BIM-453966
American Medical Association (AMA)
Elaiw, A. M.& Alghamdi, Mohammad Ali. Global Properties of Virus Dynamics Models with Multitarget Cells and Discrete-Time Delays. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-453966
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453966