Asymptotic stability of monostable wavefronts in discrete-time integral recursions

Guo Lin, Wan Tong Li, Shigui Ruan

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The aim of this work is to study the traveling wavefronts in a discrete-time integral recursion with a Gauss kernel in ℝ2. We first establish the existence of traveling wavefronts as well as their precise asymptotic behavior. Then, by employing the comparison principle and upper and lower solutions technique, we prove the asymptotic stability and uniqueness of such monostable wavefronts in the sense of phase shift and circumnutation. We also obtain some similar results in ℝ.

Original languageEnglish (US)
Pages (from-to)1185-1194
Number of pages10
JournalScience China Mathematics
Volume53
Issue number5
DOIs
StatePublished - May 2010

Fingerprint

Traveling Wavefronts
Recursion
Wave Front
Asymptotic Stability
Discrete-time
Precise Asymptotics
Upper and Lower Solutions
Comparison Principle
Phase Shift
Gauss
Uniqueness
Asymptotic Behavior
kernel

Keywords

  • Comparison principle
  • Discrete-time integral recursion
  • Monostable wave
  • Stability
  • Upper and lower solutions

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Asymptotic stability of monostable wavefronts in discrete-time integral recursions. / Lin, Guo; Li, Wan Tong; Ruan, Shigui.

In: Science China Mathematics, Vol. 53, No. 5, 05.2010, p. 1185-1194.

Research output: Contribution to journalArticle

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