一类非局部扩散的分布时滞SVIR 模型的行波解

Abstract

Abstract:

Traveling wave solutions for a class of SVIR model with distributed delay and nonlocal dispersal are considered. By the construction of upper and lower solutions and with the help of Schauder's fixed-point theorem, limit theory, analytical techniques, and Lyapunov function methods, the existence of traveling wave solutions for this model is established. Particularly, it is essential to use analytical techniques more detailed for testifying the asymptotic boundary conditions of traveling waves since it becomes more difficult for the boundedness of traveling waves and the construction of Lyapunov functions for the presence of distributed delay in the model. Moreover, the non-existence of traveling waves is obtained by asymptotic spreading theory and a contradiction argument. Therefore, the results on traveling waves for delay-free and discrete time-delay SVIR models are not only extended to the case of distributed delay, but the research of traveling waves in vaccination-stratified epidemic models is enriched and completed.

Key words: nonlocal dispersal, distributed delay, traveling wave solutions, existence, nonexistence

CLC Number:

O175

Xiaoqin Qiu, Yunrui Yang. Traveling Wave Solutions to a Class of SVIR Model with Distributed Delay and Nonlocal Dispersal[J].Acta mathematica scientia,Series A, 2026, 46(6): 2349-2370.

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Traveling Wave Solutions to a Class of SVIR Model with Distributed Delay and Nonlocal Dispersal

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