کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4628246 1631817 2014 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The complete classification for global dynamics of a model for the persistence of HTLV-I infection
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
The complete classification for global dynamics of a model for the persistence of HTLV-I infection
چکیده انگلیسی

Li and Lim (2011) [8] proposed a three-dimensional system of ordinary differential equations modeling the role of Tax expression in the persistence of Human T-lymphotropic virus Type I and presented a mathematical analysis and its immunovirological explanation. The previous paper shows that three-dimensional system is a cooperative system if a sharp condition is satisfied. By means of the theory of cooperative dynamical systems, they studied the global dynamics. If the sharp condition is not satisfied, they leave it an open problem. The present paper is to provide a complete classification of global dynamics for this ODE model. In particular, our global analysis establishes that the dynamics of the HTLV-I infection are completely determined by a basic reproductive number, which completely solves the open problem above.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 237, 15 June 2014, Pages 489–493
نویسندگان
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