期刊
APPLIED MATHEMATICS LETTERS
卷 113, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2020.106855
关键词
Predator; Prey; Traveling wave; Stable tail
资金
- Ministry of Science and Technology of the Republic of China [108-2115-M-005-007-MY2]
This paper investigates traveling waves in a predator-prey system with nonlocal dispersal. It provides a proof for the open question of convergence left unanswered in previous research.
We study traveling waves of a predator-prey system with nonlocal dispersal. It is known that there are traveling waves connecting the predator-free state to a nontrivial positive state. Also, it is known that the nontrivial state is the coexistence state if the wave profile converges at the stable tail. However, the question of convergence is left open in Ducrot et al. (2019). In this paper, we provide a proof of this open question of convergence. (c) 2020 Elsevier Ltd. All rights reserved.
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