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2014 Global Dynamics of an HTLV-1 Model with Cell-to-Cell Infection and Mitosis
Sumei Li, Yicang Zhou
Abstr. Appl. Anal. 2014(SI66): 1-12 (2014). DOI: 10.1155/2014/132781

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 number R 0 is derived. It is proved that the dynamics of the model can be determined completely by the magnitude of R 0 . The infection-free equilibrium is globally asymptotically stable (unstable) if R 0 < 1 ( R 0 > 1 ) . There exists a chronic infection equilibrium and it is globally asymptotically stable if R 0 > 1 .

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Sumei Li. Yicang Zhou. "Global Dynamics of an HTLV-1 Model with Cell-to-Cell Infection and Mitosis." Abstr. Appl. Anal. 2014 (SI66) 1 - 12, 2014. https://doi.org/10.1155/2014/132781

Information

Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 1092.08004
MathSciNet: MR3251521
Digital Object Identifier: 10.1155/2014/132781

Rights: Copyright © 2014 Hindawi

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Vol.2014 • No. SI66 • 2014
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