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We consider a phenotype-switching chemotaxis model for aggregation, in whicha chemotactic population is capable of switching back and forth between achemotaxing state (performing chemotactic movement) and a secreting state(producing the attractant). We show that the switching rate provides a powerfulmechanism for controlling the densities of spontaneously emerging aggregates.Specifically, in two- and three-dimensional settings it is shown that when bothswitching rates coincide and are suitably large, then the densities of both thechemotaxing and the secreting population will exceed any prescribed level atsome points in the considered domain. This is complemented by two resultsasserting the absence of such aggregation phenomena in corresponding scenariosin which one of the switching rates remains within some bounded interval.

Phenotype switching in chemotaxis aggregation models controls the spontaneous emergence of large densities