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.
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Acknowledgements
We would like to give thanks for the help in numerical simulations to doctoral student Mingzhen Xin of the School of Mathematics and Statistics at Lanzhou University.
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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.
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Yang, L., Yang, YR. & Song, X. Traveling Waves in a SIRH Model with Spatio-Temporal Delay and Nonlocal Dispersal. Acta Math Sci 42, 715–736 (2022). https://doi.org/10.1007/s10473-022-0218-5
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DOI: https://doi.org/10.1007/s10473-022-0218-5