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Multi-type forced waves in nonlocal dispersal KPP equations with shifting habitats
Journal of Mathematical Analysis and Applications ( IF 1.3 ) Pub Date : 2021-07-17 , DOI: 10.1016/j.jmaa.2021.125504
Shao-Xia Qiao 1 , Wan-Tong Li 1 , Jia-Bing Wang 2, 3
Affiliation  

The current paper is concerned with the forced waves to nonlocal dispersal KPP equations with shifting habitats. Without asking the sign of intrinsic growth rate at negative infinity, we derive the conditions for the existence of multi-type forced waves with different profiles corresponding to different shifting speeds. Our results show that (i) there exist not only monotone but also non-monotone forced waves, and (ii) even at the same wave speed as the shifting speed of habitats, more than one forced waves can be found.



中文翻译:

具有迁移栖息地的非局部扩散KPP方程中的多类型强迫波

当前的论文涉及到具有移动栖息地的非局部扩散 KPP 方程的强迫波。不问负无穷处内在增长率的符号,我们推导出不同档位对应不同变速速度的多型强迫波存在的条件。我们的结果表明,(i)不仅存在单调强迫波,也存在非单调强迫波,(ii)即使在与栖息地移动速度相同的波速下,也可以发现不止一个强迫波。

更新日期:2021-07-26
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