Traveling Waves in a SIRH Model with Spatio-Temporal Delay and Nonlocal Dispersal
Lu Yang1, Yun-Rui Yang1, Xue Song1
1School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou, 730070 China.
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.
Electronic Supplementary Material:
Supplementary material is available in the online version of this article at 10.1007/s10473-022-0218-5.
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