Monostable wavefronts in cooperative Lotka-Volterra systems with nonlocal delays

Guo Lin, Wan Tong Li, Shigui Ruan

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

This paper is concerned with traveling wavefronts in a Lotka- Volterra model with nonlocal delays for two cooperative species. By using comparison principle, some existence and nonexistence results are obtained. If the wave speed is larger than a threshold which can be formulated in terms of basic parameters, we prove the asymptotic stability of traveling wavefronts by the spectral analysis method together with squeezing technique.

Original languageEnglish (US)
Pages (from-to)1-23
Number of pages23
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume31
Issue number1
DOIs
StatePublished - Sep 2011

Fingerprint

Nonlocal Delay
Traveling Wavefronts
Cooperative Systems
Lotka-Volterra System
Wavefronts
Wave Front
Lotka-Volterra Model
Squeezing
Comparison Principle
Wave Speed
Asymptotic stability
Spectral Analysis
Asymptotic Stability
Spectrum analysis
Nonexistence

Keywords

  • Asymptotic stability
  • Comparison principle
  • Linear de-terminate conjecture
  • Minimal wave speed
  • Monostable system
  • Nonlocal delay

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics
  • Analysis

Cite this

Monostable wavefronts in cooperative Lotka-Volterra systems with nonlocal delays. / Lin, Guo; Li, Wan Tong; Ruan, Shigui.

In: Discrete and Continuous Dynamical Systems- Series A, Vol. 31, No. 1, 09.2011, p. 1-23.

Research output: Contribution to journalArticle

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