论文标题
密度抑制运动模型的行驶波解决方案
Travelling wave solutions of the density-suppressed motility model
论文作者
论文摘要
在本文中，我们研究了描述``自我捕获''机制的密度抑制运动模型的行动波解决方案，该机制诱导了实验中观察到的时空模式形成。我们建立了以最小的波速速度的行进波前的存在，并讨论了补充数值模拟的波轮廓的选择，这些模拟说明了与实验观测非常一致的波模式。
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.
