Traveling Wavefronts in a Volume-Filling Chemotaxis Model
Traveling Wavefronts in a Volume-Filling Chemotaxis Model
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DOI：
10.1137/08072797x
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发表时间：
2009-02
期刊：
影响因子：
--
通讯作者：
Chunhua Ou;W. Yuan
中科院分区：
文献类型：
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作者：
Chunhua Ou;W. Yuan
趋化性是一种观察到的现象，在这种现象中，有机体优先向相对较高的浓度移动，这与自然扩散过程相反。本文研究了趋化性的体积填充模型，并利用Banach不动点定理为建立行波前的存在性提供了一种有效的方法。严格的结果在趋化敏感性相对较小或波速较大时都成立。对主要结果进行了数值模拟，并对不同参数下的波形进行了比较。
Chemotaxis is an observed phenomenon in which an organism moves preferentially toward a relatively high concentration, which is contrary to the process of natural diffusion. In this paper, we study a volume-filling model of chemotaxis and provide a valid approach to establishing the existence of traveling wavefronts via the Banach fixed point theorem. Rigorous results hold either when the chemotactic sensitivity is relatively small or when the wave speed is large. Numerical simulations are presented to illustrate the main results, and comparisons of wave patterns in different parameters are demonstrated.