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

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  • 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.

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