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Existence of traveling wave solutions in a stage structured cooperative system on higher-dimensional lattices. (English) Zbl 1426.37056

Summary: We study the existence of traveling wave solutions in a higher-dimensional lattice cooperative system with stage structure. We establish the existence theorem of traveling wave solutions based on the upper and lower solutions method and Schauder’s fixed point theorem. Then we construct a pair of upper and lower solutions to verify the existence of traveling wave solutions.

MSC:

37L60 Lattice dynamics and infinite-dimensional dissipative dynamical systems
34K10 Boundary value problems for functional-differential equations
39A12 Discrete version of topics in analysis
35C07 Traveling wave solutions
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