具有时空延迟和非局部扩散的SIRH模型中的行波
Traveling Waves in a SIRH Model with Spatio-Temporal Delay and Nonlocal Dispersal.
作者信息
Yang Lu, Yang Yun-Rui, Song Xue
机构信息
School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou, 730070 China.
出版信息
Acta Math Sci. 2022;42(2):715-736. doi: 10.1007/s10473-022-0218-5. Epub 2022 Feb 3.
UNLABELLED
This paper deals mainly with the existence and asymptotic behavior of traveling waves in a SIRH model with spatio-temporal delay and nonlocal dispersal based on Schauder's fixed-point theorem and analysis techniques, which generalize the results of nonlocal SIRH models without relapse and delay. In particular, the difficulty of obtaining the asymptotic behavior of traveling waves for the appearance of spatio-temporal delay is overcome by the use of integral techniques and analysis techniques. Finally, the more general nonexistence result of traveling waves is also included.
ELECTRONIC SUPPLEMENTARY MATERIAL
Supplementary material is available in the online version of this article at 10.1007/s10473-022-0218-5.
未标注
本文主要基于绍德尔不动点定理和分析技术，研究具有时空延迟和非局部扩散的SIRH模型中行波的存在性和渐近行为，推广了无复发和延迟的非局部SIRH模型的结果。特别地，通过使用积分技术和分析技术克服了由于时空延迟的出现而在获得行波渐近行为方面的困难。最后，还包括了更一般的行波不存在结果。
电子补充材料
补充材料可在本文的在线版本中获取，链接为10.1007/s10473-022-0218-5。
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