Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471425 | Computers & Mathematics with Applications | 2016 | 8 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Yazhou Han, Zhongfang Li, Shutao Zhang, Manjun Ma,