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浙江大学学报（理学版）
Journal of Zhejiang University (Science Edition)  2023, Vol. 50 Issue (3): 273-286    DOI: 10.3785/j.issn.1008-9497.2023.03.003
Mathematics and Computer Science     
Stability of monostable traveling waves for a class of SVIR models with nonlocal diffusion and delay
Xiaowu LI1(),Yunrui YANG1(),Kaikai LIU2
1.School of Mathematics and Physics，Lanzhou Jiaotong University，Lanzhou 730070，China
2.School of Mathematics and Physics，China University of Geosciences，Wuhan 430074，China
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Abstract  

The exponential stability of monostable traveling wave solutions of a class of SVIR model is established by using the weighted energy method and continuity method. In particular, the requirement for the initial perturbation need only be uniformly bounded at x=+∞ but not vanishing.

Key words： nonlocal diffusion      monostable wave solutions      stability      delay      weighted-energy method     
Received: 11 May 2022      Published: 19 May 2023
CLC:  O 175.26  
Corresponding Authors: Yunrui YANG     E-mail: lixiaowu2020@163.com;lily1979101@163.com
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Xiaowu LI
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Cite this article:

Xiaowu LI,Yunrui YANG,Kaikai LIU. Stability of monostable traveling waves for a class of SVIR models with nonlocal diffusion and delay. Journal of Zhejiang University (Science Edition), 2023, 50(3): 273-286.

URL:

https://www.zjujournals.com/sci/EN/Y2023/V50/I3/273


一类时滞非局部扩散SVIR模型单稳行波解的稳定性

利用加权能量法结合连续性方法建立了一类时滞非局部扩散SVIR模型单稳行波解的指数稳定性。特别地，初始扰动只需在x=+∞处一致有界而不必趋于0。


关键词： 非局部扩散,  单稳行波解,  稳定性,  时滞,  加权能量法 
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