Spreading speeds and traveling wave solutions in cooperative integral-differential systems

Changbing Hu, Yang Kuang, Bingtuan Li, Hao Liu

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We study a cooperative system of integro-differential equations. It is shown that the system in general has multiple spreading speeds, and when the linear determinacy conditions are satisfied all the spreading speeds are the same and equal to the spreading speed of the linearized system. The existence of traveling wave solutions is established via integral systems. It is shown that when the linear determinacy conditions are satisfied, if the unique spreading speed is not zero then it may be characterized as the slowest speed of a class of traveling wave solutions. Some examples are presented to illustrate the theoretical results.

Original languageEnglish (US)
Pages (from-to)1663-1684
Number of pages22
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume20
Issue number6
DOIs
StatePublished - Aug 1 2015

Keywords

  • Integral system
  • Integral-differential system
  • Linear determinacy
  • Spreading speed
  • Traveling wave solution

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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