TRAVELING WAVES IN A SIRH MODEL WITH SPATIO-TEMPORAL DELAY AND NONLOCAL DISPERSAL

doi:10.1007/s10473-022-0218-5

数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (2): 715-736.doi: 10.1007/s10473-022-0218-5

TRAVELING WAVES IN A SIRH MODEL WITH SPATIO-TEMPORAL DELAY AND NONLOCAL DISPERSAL

杨璐, 杨赟瑞, 宋雪

School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China

收稿日期:2020-10-16 修回日期:2021-01-04 出版日期:2022-04-25 发布日期:2022-04-22
通讯作者: Yun-Rui YANG,E-mail:lily1979101@163.com E-mail:lily1979101@163.com
作者简介:Lu YANG,E-mail:yanglu19970729@163.com;Xue SONG,E-mail:sx18604126839@163.com
基金资助:
Yun-Rui Yang is supported by the NSF of China (11761046), Science and Technology Plan Foundation of Gansu Province of China (20JR5RA411), and Foundation of A Hundred Youth Talents Training Program of Lanzhou Jiaotong University.

TRAVELING WAVES IN A SIRH MODEL WITH SPATIO-TEMPORAL DELAY AND NONLOCAL DISPERSAL

Lu YANG, Yun-Rui YANG, Xue SONG

School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China

Received:2020-10-16 Revised:2021-01-04 Online:2022-04-25 Published:2022-04-22
Supported by:
Yun-Rui Yang is supported by the NSF of China (11761046), Science and Technology Plan Foundation of Gansu Province of China (20JR5RA411), and Foundation of A Hundred Youth Talents Training Program of Lanzhou Jiaotong University.

摘要/Abstract

摘要： 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.

关键词: Nonlocal dispersal, spatio-temporal delay, traveling waves

Abstract: 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.

Key words: Nonlocal dispersal, spatio-temporal delay, traveling waves

中图分类号:

35K57

杨璐, 杨赟瑞, 宋雪. TRAVELING WAVES IN A SIRH MODEL WITH SPATIO-TEMPORAL DELAY AND NONLOCAL DISPERSAL[J]. 数学物理学报(英文版), 2022, 42(2): 715-736.

Lu YANG, Yun-Rui YANG, Xue SONG. TRAVELING WAVES IN A SIRH MODEL WITH SPATIO-TEMPORAL DELAY AND NONLOCAL DISPERSAL[J]. Acta mathematica scientia,Series B, 2022, 42(2): 715-736.

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TRAVELING WAVES IN A SIRH MODEL WITH SPATIO-TEMPORAL DELAY AND NONLOCAL DISPERSAL

TRAVELING WAVES IN A SIRH MODEL WITH SPATIO-TEMPORAL DELAY AND NONLOCAL DISPERSAL

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