具有水平传播和环境传播的反应扩散传染病模型研究

Abstract

Abstract:

In this paper, a reaction-diffusion epidemic model with horizontal transmission and environmental transmission is proposed. The well posedness of this model is investigated, including the global existence and uniform boundedness of the solution. Furthermore, the basic reproduction number ${\mathcal R}_{0}$ is defined by the spectral radius of the next generation operator. The threshold dynamics of the model is studied by using monotone dynamical systems theory and uniform persistence theory.

Key words: Reaction-diffusion model, Environmental transmission and horizontal transmission, Standard incidence, Basic reproduction number, Uniform persistence

CLC Number:

O175.21

Zhenxiang Hu,Linfei Nie. Analysis of a Reaction-Diffusion Epidemic Model with Horizontal Transmission and Environmental Transmission[J].Acta mathematica scientia,Series A, 2022, 42(6): 1849-1860.

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References 19

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Analysis of a Reaction-Diffusion Epidemic Model with Horizontal Transmission and Environmental Transmission

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