Analysis of propagating fronts in a nonlinear diffusion model with chemotaxis

作者：Mansour M B A^*

来源：Wave Motion, 2013, 50(1): 11-17.

DOI：10.1016/j.wavemoti.2012.06.003

• Nonlinear diffusion
• Chemotaxis
• Propagating fronts
• Sharp front

This work is devoted to the study of traveling wave front solutions of a phenomenological model for pattering in bacterial colonies which incorporates cell movements in a nonlinear diffusion and chemotaxis. An analysis of propagating fronts in the model is performed to describe the occurrence of a sharp front with a minimum speed, as well as smooth fronts. This analysis also leads us to construct the sharp front profiles and accurately determine their minimum speed. Moreover, numerical time-dependent solutions of the model are constructed to confirm the results of the analysis.

• 出版日期2013-1