کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1137809 1489185 2009 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Qualitative analysis of a generalized system of saturated enzyme reactions
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Qualitative analysis of a generalized system of saturated enzyme reactions
چکیده انگلیسی

In this paper, we discuss a generalized system of saturated enzyme reactions. In order to see the tendency of concentrations over a large range, we discuss not only its finite equilibria but also its equilibria at infinity. The case of high degeneracy is dealt with by constructing generalized normal sectors. Furthermore, we calculate coefficients of a normal form of the system at the sole finite equilibrium and prove that a unique limit cycle of small amplitude bifurcates from the equilibrium. The existence of periodic solutions of large amplitude is given by Poincaré–Bendixson theorem. Nonexistence of periodic solutions is investigated by discussing the integral of divergence.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 49, Issues 3–4, February 2009, Pages 556–562
نویسندگان
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