生物扩散
Neumann边界条件
数学
动力学(音乐)
流行病模型
边界(拓扑)
边值问题
冯·诺依曼建筑
统计物理学
数学分析
作者
Fei-Ying Yang,Wan-Tong Li,Shigui Ruan
标识
DOI:10.1016/j.jde.2019.03.001
摘要
Abstract In this paper we study a nonlocal dispersal susceptible-infected-susceptible (SIS) epidemic model with Neumann boundary condition, where the spatial movement of individuals is described by a nonlocal (convolution) diffusion operator, the transmission rate and recovery rate are spatially heterogeneous, and the total population number is constant. We first define the basic reproduction number R 0 and discuss the existence, uniqueness and stability of steady states of the nonlocal dispersal SIS epidemic model in terms of R 0 . Then we consider the impacts of the large diffusion rates of the susceptible and infectious populations on the persistence and extinction of the disease. The obtained results indicate that the nonlocal movement of the susceptible or infectious individuals will enhance the persistence of the infectious disease. In particular, our analytical results suggest that the spatial heterogeneity tends to boost the spread of the infectious disease.
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