期刊论文

Chaohong Pan

英文

Applicable Analysis

0003-6811

2023

102

17

4757-4778

10.1080/00036811.2022.2138862

This work is partially supported by the Scientific Research Fund of Hunan Provincial Education Department grant (20B512) and the Natural Science Foundation of Hunan Province grant (2021JJ30019). This work is partially supported by the National Natural Science Foundation of China grant (11626129 and 11801263), the Natural Science Foundation of Hunan Province grant (2018JJ3418) and Hunan Key Laboratory of Mathematical Modeling and Scientific Computing. We would like to thank the anonymous referees for careful reading and many valuable comments that have helped greatly improve the exposition of the paper.

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We study the uniqueness and sign of bistable wave speed for a lattice time-periodic Lotka–Volterra competition system of bistable type. The sign of wave speed reflects the propagation direction of traveling wave which arises as a challenging problem in the field of traveling wave theory. Actually, even for the case of homogeneous environment, there is no common method that can be used to deal with it. First, we show that the speed of the bistable wave of the model is unique. Second, by making use of upper–lower solution method and comparison ...