کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
471425 | 698632 | 2016 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Wavefront invasion for a volume-filling chemotaxis model with logistic growth
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Wavefront invasion for a volume-filling chemotaxis model with logistic growth Wavefront invasion for a volume-filling chemotaxis model with logistic growth](/preview/png/471425.png)
چکیده انگلیسی
This paper is devoted to study the propagation of the pattern in a large domain for a volume-filling model with chemotaxis. By deriving the real Ginzburg–Landau equation governing the evolution of pattern amplitude we show that the pattern invades the whole domain in the form of a traveling wave, which implies the existence of a traveling front solution connecting a uniform steady state and a stationary pattern in the considered model with a large chemotactic parameter. The numerical results are in good agreement with the theoretical results. This work is a significant supplement of the related literature.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 71, Issue 2, January 2016, Pages 471–478
Journal: Computers & Mathematics with Applications - Volume 71, Issue 2, January 2016, Pages 471–478
نویسندگان
Yazhou Han, Zhongfang Li, Shutao Zhang, Manjun Ma,