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2010, Volume 14, Issue 1: 111-128. Doi: 10.3934/dcdsb.2010.14.111
This issue Previous Article Numerical simulation and self-similar analysis of singular solutions of Prandtl equations Next Article Topological stability of hyperbolic sets of flows under random perturbations

Traveling plane wave solutions of delayed lattice differential systems in competitive Lotka-Volterra type

  • 1.

    Department of Mathematics, National Central University, Chung-Li 32001

  • 2.

    Department of Mathematics, Tamkang University, Tamsui, Taipei County 25137

Received:  February 28, 2009
Revised:  December 31, 2009
Published:  June 2010
Abstract Related Papers Cited by
    Abstract
  • In this work we consider the existence of traveling plane wave solutions of systems of delayed lattice differential equations in competitive Lotka-Volterra type. Employing iterative method coupled with the explicit construction of upper and lower solutions in the theory of weak quasi-monotone dynamical systems, we obtain a speed, c *, and show the existence of traveling plane wave solutions connecting two different equilibria when the wave speeds are large than c *.
    Mathematics Subject Classification: Primary: 34A33, 34C37, 34K10, 35C07; Secondary: 92B20.

    Citation:
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