1. Global dynamics of a mathematical model for HTLV-I infection of CD4+ T-cells
- Author
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Cai, Liming, Li, Xuezhi, and Ghosh, Mini
- Subjects
- *
HTLV-I infections , *T cells , *MATHEMATICAL models , *MATHEMATICAL analysis , *MATHEMATICAL functions , *EQUILIBRIUM - Abstract
Abstract: In this paper, a mathematical model for HILV-I infection of CD4+ T-cells is investigated. The force of infection is assumed be of a function in general form, and the resulting incidence term contains, as special cases, the bilinear and the saturation incidences. The model can be seen as an extension of the model [Wang et al. Mathematical analysis of the global dynamics of a model for HTLV-I infection and ATL progression, Math. Biosci. 179 (2002) 207-217; Song, Li, Global stability and periodic solution of a model for HTLV-I infection and ATL progression, Appl. Math. Comput. 180(1) (2006) 401-410]. Mathematical analysis establishes that the global dynamics of T-cells infection is completely determined by a basic reproduction number . If , the infection-free equilibrium is globally stable; if , the unique infected equilibrium is globally stable in the interior of the feasible region. [Copyright &y& Elsevier]
- Published
- 2011
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