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Propagation dynamics of a three-species nonlocal competitive–cooperative system
Nonlinear Analysis: Real World Applications ( IF 2 ) Pub Date : 2020-10-08 , DOI: 10.1016/j.nonrwa.2020.103230
Li Zhang , Xiongxiong Bao

This paper is concerned with the existence, monotonicity, asymptotic behavior and uniqueness of traveling wave solutions for a three-species competitive–cooperative system with nonlocal dispersal and bistable dynamics. By considering a related truncated problem, we first establish the existence and strict monotonicity of traveling waves by means of a limiting argument and a comparative lemma. Then the asymptotic behavior of traveling waves is investigated by using Ikehara’s lemma and bilateral Laplace transform. Finally, we obtain the uniqueness of wave speed and traveling wave by sliding method.



中文翻译:

三种群非本地竞争合作系统的传播动力学

本文关注的是具有非局部扩散和双稳态动力学的三种种群竞争合作系统的行波解的存在性,单调性,渐近行为和唯一性。通过考虑一个相关的截断问题,我们首先通过一个极限参数和一个比较引理建立了行波的存在性和严格单调性。然后,使用Ikehara的引理和双边Laplace变换研究行波的渐近行为。最后,通过滑动法获得了波速和行波的唯一性。

更新日期:2020-10-11
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