In this paper, we are devoted to establishing the existence of traveling wave solutions in an integro-difference competition-cooperation system with partial monotonieity by using Schauder＇s fixed point theorem, the c...In this paper, we are devoted to establishing the existence of traveling wave solutions in an integro-difference competition-cooperation system with partial monotonieity 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 integrodifference 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.展开更多
基金We would like to thank the referees for their careful reading and helpful suggestions which led to an improvement of our original manuscript. The first author was supported by the National Natural Science Foundation of China （Grant No. 11401198）, the Hunan Provincial Natural Science Foundation of China （Grant No. 2015JJ3054）. The second author was supported by the National Natural Science Foundation of China （Grant No. 11571041） and the hmdamental Research Funds for the Central Universities.
文摘In this paper, we are devoted to establishing the existence of traveling wave solutions in an integro-difference competition-cooperation system with partial monotonieity 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 integrodifference 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.
