Before revision:  Previously proposed continuum models successfully reproduced the stripe patterns, but the finite response time of the individual cells to the change of local density has not been taken into account in those models. In this article, we propose a model that includes a simplified regulatory dynamics of the tumbling frequency in individual cells , and numerically simulate the behavior .
After revision:  We propose a model that includes a simplified regulatory dynamics of the tumbling frequency in individual cells , and numerically simulate the behavior .