时滞非局部扩散 SIR 系统的周期行波解

Abstract

Abstract:

The periodic traveling waves for a class of delayed SIR system with nonlocal dispersal are considered. Firstly, the basic reproduction number $\Re_{0}$ is defined by the method of subalgebraic operators. Secondly, the existence of periodic traveling waves of the system when the basic reproduction number $\Re_{0}>1$ is established based on the non-compactness Kuratowski measure theory and the asymptotic fixed point theorem. Finally, the non-existence of periodic traveling waves when the basic reproduction number $\Re_{0}<1$ is investigated using the method of contradiction proof and the analysis technique.

Key words: periodic traveling waves, nonlocal dispersal, delay, asymptotic fixed point theorem

CLC Number:

O175.14

Mengxuan Jia, Yunrui Yang. Periodic Traveling Waves for a Delayed SIR System with Nonlocal Dispersal[J].Acta mathematica scientia,Series A, 2026, 46(1): 157-173.

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Periodic Traveling Waves for a Delayed SIR System with Nonlocal Dispersal

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