Dynamics of an epidemic model with advection and free boundaries

Autor: Meng Zhao, Wan-Tong Li, Yang Zhang
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Mathematical Biosciences and Engineering, Vol 16, Iss 5, Pp 5991-6014 (2019)
Druh dokumentu: article
ISSN: 1551-0018
DOI: 10.3934/mbe.2019300?viewType=HTML
Popis: 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.
Databáze: Directory of Open Access Journals