Journal of Inequalities and Applications.
Springer International Publishing.
Vol. 2018.
2018.
Traveling waves for a bistable reaction-diffusion equation with delay
The paper is devoted to a reaction-diffusion equation with delay arising in modeling the immune response. We prove the existence of traveling waves in the bistable case using the Leray–Schauder method. Differently from the previous works, we do not assume here quasi-monotonicity of the delayed reaction term. © 2018 Society for Industrial and Applied Mathematics.
Authors
Trofimchuk S.1
,
Volpert V.
2,
3,
4
Number of issue
1
Language
English
Pages
1175-1190
Status
Published
Link
Volume
50
Year
2018
Organizations
- 1 Instituto de Matemática y Fisica, Universidad de Talca, Casilla 747, Talca, Chile
- 2 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
- 3 INRIA Team Dracula, INRIA Lyon La Doua, Villeurbanne, 69603, France
- 4 RUDN University, ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
Keywords
Bistable case; Reaction-diffusion equation; Time delay; Wave existence
Date of creation
19.10.2018
Date of change
19.10.2018
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