Traveling wave solutions in delayed higher dimensional lattice differential systems with partial monotonicity

Kun Li and Yanli He

Mathematische Nachrichten, 2019, vol. 292, issue 12, 2624-2636

Abstract: In this paper, we consider the existence of traveling wave solutions in delayed higher dimensional lattice differential systems with partial monotonicity. By relaxing the monotonicity of the upper solutions and allowing it greater than positive equilibrium point, we establish the existence of traveling wave solutions by means of Schauder's fixed point theorem. And then, we apply our results to delayed competition‐cooperation systems on higher dimensional lattices.

Date: 2019
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https://doi.org/10.1002/mana.201800204

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