Existence of Reaction–Diffusion Waves in a Model of Immune Response

Existence of travelling waves is studied for a 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. © 2020, Springer Nature Switzerland AG.

Authors
Volpert V. 1, 2, 3
Journal
Mediterranean Journal of Mathematics
Publisher
Birkhauser Verlag AG
Number of issue
2
Language
English
Status
Published
Link
External link
DOI
10.1007/S00009-020-1490-Z
Number
47
Volume
17
Year
2020
Organizations
  • 1 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
  • 2 INRIA Team Dracula, INRIA Lyon La Doua, Villeurbanne, 69603, France
  • 3 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
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