具有非局部效应的时滞SEIR系统的周期行波解

Abstract

Abstract:

In this paper, the periodic traveling wave solutions to a class of delayed SEIR systems with nonlocal effects and nonlinear incidence are investigated. Firstly, the existence of periodic traveling waves is transformed into the fixed point problem of an non-monotone operator defined on a closed convex set by defining the basic reproducing number$\Re_{0}$and constructing appropriate upper and lower solutions, and thus the existence of periodic traveling waves of the system is established by using Schauder fixed point theorem and limit theory. Secondly, the non-existence of periodic traveling wave solutions of the system is proved when the basic regeneration number$\Re_{0}<1$by contradictory arguments and comparison principle.

Key words: Periodic traveling wave solutions, Fixed point theorem, Existence

CLC Number:

O175.14

Zhang Guangxin, Yang Yunrui, Song Xue. Periodic Traveling Wave Solutions of Delayed SEIR Systems with Nonlocal Effects[J].Acta mathematica scientia,Series A, 2024, 44(1): 140-159.

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References 18

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Periodic Traveling Wave Solutions of Delayed SEIR Systems with Nonlocal Effects

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