论文标题
趋化性聚集模型中的表型切换控制了大密度的自发出现
Phenotype switching in chemotaxis aggregation models controls the spontaneous emergence of large densities
论文作者
论文摘要
我们考虑了用于聚集的表型转换趋化模型，其中趋化群体能够在趋化状态（执行趋化运动运动）和分泌状态（产生吸引剂）之间来回切换。我们表明，开关率提供了一种强大的机制来控制自发出现的聚集体的密度。具体而言，在二维和三维设置中，当两个切换速率重合并且相当大时，趋化性和分泌种群的密度都将超过所考虑域中某些点的任何规定水平。在相应的情况下，其中一个切换速率保留在某个界面间隔内的相应场景中，这两个结果都得到了两个结果的补充。
We consider a phenotype-switching chemotaxis model for aggregation, in which a chemotactic population is capable of switching back and forth between a chemotaxing state (performing chemotactic movement) and a secreting state (producing the attractant). We show that the switching rate provides a powerful mechanism for controlling the densities of spontaneously emerging aggregates. Specifically, in two- and three-dimensional settings it is shown that when both switching rates coincide and are suitably large, then the densities of both the chemotaxing and the secreting population will exceed any prescribed level at some points in the considered domain. This is complemented by two results asserting the absence of such aggregation phenomena in corresponding scenarios in which one of the switching rates remains within some bounded interval.
