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*
關聯:
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
