Dynamics of an epidemic model with advection and free boundaries | Zendy

Meng Zhao | Zendy; Wan–Tong Li | Zendy; Yang Zhang | Zendy

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Dynamics of an epidemic model with advection and free boundaries

Author(s) -

Meng Zhao,

Wan–Tong Li,

Yang Zhang

Publication year - 2019

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2019300

Subject(s) - advection , uniqueness , degenerate energy levels , diffusion , dynamics (music) , mathematics , focus (optics) , function (biology) , statistical physics , mathematical analysis , physics , biology , quantum mechanics , evolutionary biology , acoustics , optics , thermodynamics

This paper deals with the propagation dynamics of an epidemic model, which is modeled by a partially degenerate reaction-diffusion-advection system with free boundaries and sigmoidal function. We focus on the effect of small advection on the propagation dynamics of the epidemic disease. At first, the global existence and uniqueness of solution are obtained. And then, the spreading-vanishing dichotomy and the criteria for spreading and vanishing are given. Our results imply that the small advection make the disease spread more difficult.

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