Zhao Meng, Li Wan-Tong, Zhang Yang
School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, P.R. China.
Department of Mathematics, Harbin Engineering University, Harbin, 150001, P.R. China.
Math Biosci Eng. 2019 Jun 28;16(5):5991-6014. doi: 10.3934/mbe.2019300.
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.
本文研究了一个流行病模型的传播动力学，该模型由一个具有自由边界和Sigmoid函数的部分退化反应扩散对流系统建模。我们关注小对流对流行病传播动力学的影响。首先，得到了解的全局存在性和唯一性。然后，给出了传播-消失二分法以及传播和消失的准则。我们的结果表明，小对流使疾病传播更加困难。
