Traveling wave solutions in a delayed lattice competition-cooperation system |
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| Authors: | Kun Li Xiong Li |
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| Affiliation: | 1. School of Mathematics and Computational Science, Hunan First Normal University, Changsha, People’s Republic of China.;2. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, People’s Republic of China. |
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| Abstract: | In this paper, we first reduce the existence of traveling wave solutions in a delayed lattice competition-cooperation system to the existence of a pair of upper and lower solutions by means of Schauder’s fixed point theorem and the cross iteration scheme, and then we construct a pair of upper and lower solutions to obtain the existence and nonexistence of traveling wave solutions. We also consider the asymptotic behaviour of any nonnegative traveling wave solutions at negative infinity. |
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| Keywords: | Lattice differential equations traveling wave solutions cross iteration scheme Schauder’s fixed point theorem upper and lower solutions |
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