Traveling wave solutions of a nonlinear reaction-diffusion-chemotaxis model for bacterial pattern formation
Traveling wave solutions of a nonlinear reaction-diffusion-chemotaxis model for bacterial pattern formation
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DOI：
10.1016/j.apm.2006.11.013
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发表时间：
2008-02-01
影响因子：
5
通讯作者：
Mansour, M. B. A.
中科院分区：
文献类型：
--
作者：
Mansour, M. B. A.
在本文中，我们考虑使用非线性反应-扩散-趋化模型来描述树状类芽孢杆菌类型细菌在培养皿中琼脂薄层上的时空进化。我们对模型方程进行行波分析，显示行波解的存在，特别是具有最小速度的尖锐波前类型解。此外，我们还对特殊情况进行了数值研究。估计最小速度并计算行波解的轮廓并比较不同的数值方法。 (c) 2006 Elsevier Inc. 保留所有权利。
In this paper we consider a nonlinear reaction-diffusion-chemotaxis model for the description of the spatiotemporal evolution of the bacteria of the type Paenibacillus dendritiformis on a thin layer of agar in a Petri dish. We perform a traveling wave analysis for the model equation showing the existence of traveling wave solutions, in particular, the sharp wave front type solutions with minimum speed. Further, we present numerical investigations for a special case. The minimum speed is estimated and the profile of the traveling wave solution is calculated and compared for different numerical methods. (c) 2006 Elsevier Inc. All rights reserved.