After successful completion of the course, students are able to describe the basic analytic structures of partial differential equations for biologic and artificial networks. They learn how to make a presentation und to write a seminar paper.

FirthHugh-Nagumo-Systems for neuronal networks, partial differential equations for biologic transportation networks, reaction-diffusion-systems, dynamics of supply chains, wandering waves in transport equations for networks, dynamics of "Deep neural Networks", Differential equations for epidemic networks.

Nonlinear partial differential equations, reaction-diffusion-equations, transport equations, weak solutions, existence of solutions, long-term behaviour of solutions

Information regarding literature will be given in the lecture

Good presentation, written paper, regular participation

Nonlinear partial differential equations