کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1704756 1012414 2011 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global dynamics of a mathematical model for HTLV-I infection of CD4+ T-cells
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Global dynamics of a mathematical model for HTLV-I infection of CD4+ T-cells
چکیده انگلیسی

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 R0R0. If R0⩽1R0⩽1, the infection-free equilibrium is globally stable; if R0>1R0>1, the unique infected equilibrium is globally stable in the interior of the feasible region.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 35, Issue 7, July 2011, Pages 3587–3595
نویسندگان
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