Finite time blow‐up to the Cauchy problem in a higher dimensional two species chemotaxis system

Abstract

In this paper, we study a blow‐up radial solution to the fully parabolic chemotaxis system with the higher dimensional two species Cauchy problem. In addition, we show that the set of positive radial functions in has a dense subset composed of positive radial initial data causing blow‐up in finite time with respect to topology for .