کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
837348 | 908336 | 2013 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global attractivity of equilibrium in Gierer–Meinhardt system with activator production saturation and gene expression time delays
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Global attractivity of equilibrium in Gierer–Meinhardt system with activator production saturation and gene expression time delays Global attractivity of equilibrium in Gierer–Meinhardt system with activator production saturation and gene expression time delays](/preview/png/837348.png)
چکیده انگلیسی
In this work we investigate a diffusive Gierer–Meinhardt system with gene expression time delays in the production of activators and inhibitors, and also a saturation in the activator production, which was proposed by Seirin Lee et al. (2010) [10]. We rigorously consider the basic kinetic dynamics of the Gierer–Meinhardt system with saturation. By using an upper and lower solution method, we show that when the saturation effect is strong, the unique constant steady state solution is globally attractive despite the time delays. This result limits the parameter space for which spatiotemporal pattern formation is possible.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 14, Issue 4, August 2013, Pages 1871–1886
Journal: Nonlinear Analysis: Real World Applications - Volume 14, Issue 4, August 2013, Pages 1871–1886
نویسندگان
Shanshan Chen, Junping Shi,