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.

Authors
Volpert V. 1, 2, 3, 4
Language
English
Status
Published
Year
2019
Organizations
  • 1 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
  • 2 Institut Camille Jordan, INRIA, Université de Lyon, Université Lyon 1, 43 Bd. du 11 Novembre 1918, Villeurbanne Cedex, 69200, France
  • 3 Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
  • 4 Marchuk Institute of Numerical Mathematics of the RAS ul. Gubkina 8, Moscow, 119333, Russian Federation
Keywords
Delay; Existence; Reaction–diffusion system; Travelling wave
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/38974/