AN SIR EPIDEMIC MODEL WITH NONLOCAL DIFFUSION AND FREE BOUNDARIES

被引：3

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.

引用

页码：4221 / 4230

页数：10

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