Dynamics of an epidemic model with advection and free boundaries

Mathematical Biosciences and Engineering

Meng Zhao¹  Wan-Tong Li¹  Yang Zhang² 

[1] 1. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, P.R. China;2. Department of Mathematics, Harbin Engineering University, Harbin, 150001, P.R. China;

关键词: epidemic model;    partially degenerate;    advection;    free boundary;    spreading and vanishing;   

DOI  :  10.3934/mbe.2019300

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown