Document Details

Document Type : Article In Journal 
Document Title :
Global properties of virus dynamics models with multitarget cells and discrete-time delays
Global properties of virus dynamics models with multitarget cells and discrete-time delays
 
Subject : Mathematics 
Document Language : English 
Abstract : 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 R 0 is less than unity, then the uninfected steady state is globally asymptotically stable, and if R 0 > 1 (or if the infected steady state exists), then the infected steady state is globally asymptotically stable. 
ISSN : 1026-0226 
Journal Name : Discrete Dynamics in Nature and Society 
Volume : 2011 
Issue Number : 1 
Publishing Year : 1432 AH
2011 AD 
Article Type : Article 
Added Date : Monday, March 12, 2012 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
أحمد محمد عليوElaiw, Ahmed MResearcherDoctoratea_m_elaiw@yahoo.com
محمد علي الغامديAlghamdi, Mohammad AResearcherDoctorateproff-malghamdi@hotmail.com

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