AN SIR EPIDEMIC MODEL WITH NONLOCAL DIFFUSION AND FREE BOUNDARIES

被引：2
|
作者：
Yang, Guoying [1 ]
Wang, Mingxin [1 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Henan, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2023年
基金：
中国国家自然科学基金;
关键词：
  SIR model; nonlocal diffusion; free boundaries; spreading and vanishing; DYNAMICS;
D O I：
10.3934/dcdsb.2023007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this short paper, based on the long range dispersal and environ-mental carrying capacity, we propose a new SIR epidemic model and discuss its dynamic properties. The results show that the disease will always spread if the basic reproduction number 72.0(0/b, (-h0, h0)) >= 1; however, when the basic reproduction number 72.0(0/b, (-h0, h0)) < 1, whether the disease spreading or vanishing depends on the expansion ability mu of I.
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页码：4221 / 4230
页数：10
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