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*.
|Number of pages
|Discrete and Continuous Dynamical Systems - Series B
|Published - Jul 2010
- Delayed lattice differential equations
- Heteroclinic solutions
- Traveling wave solution
- Up-per and lower solutions