一类带治疗项的非局部扩散SIR传染病模型的行波解

Abstract

Abstract:

This paper is concerned with the existence and nonexistence of traveling wave solutions of a nonlocal dispersal epidemic model with treatment. The existence of traveling wave solutions is established by Schauder's fixed point theorem as well as a limiting argument, while the nonexistence of traveling wave solutions is proved by two-sided Laplace transform and Fubini's theorem. From the results, we conclude that the minimal wave speed is an important threshold to predict how fast the disease invades.

Key words: Traveling waves, Nonlocal dispersal, Minimal wave speed, Two-sided Laplace transform

CLC Number:

Dong Deng,Yan Li. Traveling Waves in a Nonlocal Dispersal SIR Epidemic Model with Treatment[J].Acta mathematica scientia,Series A, 2020, 40(1): 72-102.

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Traveling Waves in a Nonlocal Dispersal SIR Epidemic Model with Treatment

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