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In this paper, we are devoted to establishing the existence of traveling wave solutions in an integro-difference competition–cooperation system with partial monotonicity by using Schauder’s fixed point theorem, the cross-iteration… Click to show full abstract
In this paper, we are devoted to establishing the existence of traveling wave solutions in an integro-difference competition–cooperation system with partial monotonicity by using Schauder’s fixed point theorem, the cross-iteration and the upper and lower solutions method. To illustrate our result, we present an application to integro-difference competition–cooperation system with a special kernel by constructing a pair of upper and lower solutions, while the verification of upper and lower solutions is nontrivial.
Journal Title: International Journal of Biomathematics
Year Published: 2018
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