Existence of Waves for a Bistable Reaction–Diffusion System with Delay

Existence of travelling waves is studied for a delay reaction–diffusion system of equations describing the distribution of viruses and immune cells in the tissue. The proof uses the Leray-Schauder method based on the topological degree for elliptic operators in unbounded domains and on a priori estimates of solutions in weighted spaces. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.