کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
710186 892104 2016 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analysis of a Nonlinear Delay Differential-Difference Biological Model*
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Analysis of a Nonlinear Delay Differential-Difference Biological Model*
چکیده انگلیسی

Recently, a new model describing the cell dynamics in hematopoiesis was proposed. It can be described as a delay differential-difference model. Under some conditions on the biological parameters, it admits two equilibrium points. The first one is the O-equilibrium and the second one, which does not always exist, is a strictly positive point. We propose a Lyapunov functional construction in order to investigate the stability properties of both equilibria. For the 0 equilibrium, we establish the global exponential stability when the positive equilibrium does not exist. For the positive equilibrium, we establish its local exponential stability, estimate the decay rate of solutions and provide a subset of its basin of attraction.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: IFAC-PapersOnLine - Volume 49, Issue 10, 2016, Pages 246–251
نویسندگان
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