Rocky Mountain Journal of Mathematics

Existence of traveling wave solutions in a stage structured cooperative system on higher-dimensional lattices

Kun Li

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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.

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Rocky Mountain J. Math., Volume 49, Number 5 (2019), 1617-1631.

First available in Project Euclid: 19 September 2019

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Zentralblatt MATH identifier

Primary: 37L60: Lattice dynamics [See also 37K60] 34K10: Boundary value problems 39A10: Difference equations, additive

higher-dimensional lattice stage structure traveling wave solution Schauder's fixed point theorem upper and lower solutions


Li, Kun. Existence of traveling wave solutions in a stage structured cooperative system on higher-dimensional lattices. Rocky Mountain J. Math. 49 (2019), no. 5, 1617--1631. doi:10.1216/RMJ-2019-49-5-1617.

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