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arXiv · 2006.12851

Travelling wave solutions of the density-suppressed motility model

Jing Li·Zhi-An Wang
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Abstract

In this paper, we study the traveling wave solutions to the density-suppressed motility model describing the ``self-trapping'' mechanism that induces spatio-temporal pattern formations observed in the experiment. We establish the existence of traveling wavefronts with a minimal wave speed and discuss the selection of wave profiles supplemented with numerical simulations illustrating the wave patterns which are well consistent with experimental observations.

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Jing Li, Zhi-An Wang. 2020-06-23. Travelling wave solutions of the density-suppressed motility model. https://arxiv.org/abs/2006.12851

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