\`x^2+y_1+z_12^34\`
Advanced Search
Advanced Search
Advanced Search
This issue Previous Article Next Article
Article Contents
Article Contents
2010, Volume 13, Issue 2: 393-414. Doi: 10.3934/dcdsb.2010.13.393
This issue Previous Article On the time decay of solutions in porous-thermo-elasticity of type II Next Article Existence, uniqueness and stability of traveling wave fronts of discrete quasi-linear equations with delay

Traveling wave solutions in delayed reaction diffusion systems with applications to multi-species models

  • 1.

    School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000

  • 2.

    School of Mathematic and Statistics, Lanzhou University, Lanzhou, Gansu 730000

Received:  November 30, 2007
Revised:  October 31, 2008
Published:  August 2010
Abstract Related Papers Cited by
    Abstract
  • This paper is concerned with the existence of traveling wave solutions in delayed reaction diffusion systems which at least contain multi-species competition, cooperation and predator-prey models with diffusion and delays. By introducing the mixed quasimonotone condition and the exponentially mixed quasimonotone condition, we reduce the existence of traveling wave solutions to the existence of a pair of admissible upper-lower solutions. To illustrate our main results, the existence of traveling wave solutions of multi-species competition, cooperation and predator-prey Lotka-Volterra systems with delays is considered. In particular, we show the precisely asymptotic behavior of the traveling wave solutions of these Lotka-Volterra systems.
    Mathematics Subject Classification: Primary: 35K57, 92D25; Secondary: 34C37, 34K10.

    Citation:
    shu

    \begin{equation} \\ \end{equation}
    • Related Papers
  • Cited by
  • Access History
  • 加载中
PDF
XML
Export Citation
SHARE
Email to a Friend

Article Metrics

HTML views() PDF downloads(174) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return
    Site map Copyright © 2023 American Institute of Mathematical Sciences