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Traveling waves for a nonlocal dispersal SIR model with renewal and spatio-temporal delay
Applicable Analysis ( IF 1.1 ) Pub Date : 2021-08-23 , DOI: 10.1080/00036811.2021.1969369
Yun-Rui Yang 1 , Yang Yang 1 , Zhu-Yan Ma 1
Affiliation  

This paper focuses on the traveling waves for a nonlocal dispersal SIR model with renewal and spatio-temporal delay. By Schauder's fixed point theorem, the prior estimate, limit theory and analysis techniques, the existence and asymptotic behaviors of traveling waves are obtained, which essentially generalize the results of nonlocal SIR models without renewal and delay. Especially, it is difficult to establish the asymptotic behaviors of traveling waves for the appearance of spatio-temporal delay, which is overcome by some boundedness estimates and integral techniques for the generally nonlocal nonlinearity. Finally, the non-existence of traveling waves is also included.



中文翻译:

具有更新和时空延迟的非局部扩散 SIR 模型的行波

本文重点研究具有更新和时空延迟的非局部扩散 SIR 模型的行波。通过Schauder不动点定理、先验估计、极限理论和分析技术,得到了行波的存在性和渐近行为,从本质上推广了非局部SIR模型的结果,无需更新和延迟。特别是,对于时空延迟的出现,很难建立行波的渐近行为,对于一般的非局部非线性,一些有界估计和积分技术可以克服这一点。最后,还包括不存在行波。

更新日期:2021-08-23
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