期刊
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 77, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2023.104043
关键词
Epidemic model; Free boundary; Longtime behavior
In this paper, a reaction-diffusion waterborne pathogen model with free boundary is studied. The existence of a unique global solution is proved, and the longtime behavior is analyzed through a spreading-vanishing dichotomy. Sharp criteria for spreading and vanishing are obtained, which differs from the previous results by Zhou et al. (2018) stating that the epidemic will spread when the basic reproduction number is larger than 1.
In this paper, we consider a reaction-diffusion waterborne pathogen model with free boundary. We first prove that this problem has a unique global solution, and then we show that its longtime behavior is determined by a spreading-vanishing dichotomy. Moreover, we obtain sharp criteria for spreading and vanishing, which is very different from the results in Zhou et al. (2018) that the epidemic will spread for the basic reproduction number is larger than 1.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据