Global Dynamics of an HTLV-1 Model with Cell-to-Cell Infection and Mitosis. (12th August 2014)

• Record Type: Journal Article
• Authors: Li, Sumei; Zhou, Yicang
• Other Names: Yuan Sanling Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-08-12
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/132781
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : A mathematical model of human T-cell lymphotropic virus type 1 in vivo with cell-to-cell infection and mitosis is formulated and studied. The basic reproductive numberR 0 is derived. It is proved that the dynamics of the model can be determined completely by the magnitude ofR 0 . The infection-free equilibrium is globally asymptotically stable (unstable) ifR 0 < 1 ( R 0 > 1 ) . There exists a chronic infection equilibrium and it is globally asymptotically stable ifR 0 > 1 .