Taxis-driven formation of hotspots in a cross-diffusion model for virus infection
Abstract: This talk addresses a three-component chemotaxis model which accounts for spatially heterogeneous dynamics of viral infection. In contrast to the classical Keller-Segel type systems, the considered attractant is produced in an inherently nonlinear mechanism. We develop an approach capable of detecting taxis-driven blow-up in this complex model, known as virus hotspot formation phenomena observed in biological experiments. This is joint work with Michael Winkler (Paderborn).