Existence of Pulses for the System of Competition of Species

The paper is concerned with the existence of pulses for monotone reaction–diffusion systems of two equations. For a general class of systems we prove that pulses exist if and only if the wave solutions propagate at positive speed. This result is applied to investigate the existence of pulses for the system of competition of species. © 2017 Springer Science+Business Media New York

Authors
Marion M.1 , Volpert V. 2, 3
Journal
Journal of Dynamics and Differential Equations
Language
English
Pages
1-18
Status
Published
Link
External link
DOI
10.1007/S10884-017-9582-6
Year
2017
Organizations
  • 1 Institut Camille Jordan, UMR 5585 CNRS, Ecole Centrale de Lyon, Ecully, 69134, France
  • 2 Institut Camille Jordan, UMR 5585 CNRS, University Lyon 1, Villeurbanne, 69622, France
  • 3 RUDN University, ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
Keywords
Existence of pulses; Leray–Schauder method; Monotone systems
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