Stability and uniqueness of traveling waves for a discrete bistable 3-species competition system

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:472

Article

Guo, Jong-Shenq¹  Nakamura, Ken-Ichi²  Ogiwara, Toshiko³  Wu, Chin-Chin⁴ 

[1] Tamkang Univ, Dept Math, New Taipei 25137, Taiwan

[2] Kanazawa Univ, Fac Math & Phys, Kanazawa, Ishikawa, Japan

[3] Josai Univ, Dept Math, Tokyo, Japan

[4] Natl Chung Hsing Univ, Dept Appl Math, Taichung 402, Taiwan

关键词: Lattice dynamical system;    Bistable;    Traveling wave;    Stability;    Uniqueness;   

DOI  :  10.1016/j.jmaa.2018.12.007

来源: Elsevier

【 摘 要 】

We study the stability and uniqueness of nonzero speed traveling waves for a three-component lattice dynamical system. This system arises in the study of three species competition model in which there is no competition between the first and the third species. Under the bistable consideration, we first derive the strict monotonicity of nonzero speed traveling waves. Then some super-sub-solutions are constructed based on these strictly monotone traveling waves. Finally, utilizing the constructed super-sub-solutions, we prove the stability and uniqueness of nonzero speed traveling waves of this system. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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