Analysis on a diffusive SIS epidemic model with saturated incidence rate and linear source in a heterogeneous environment

被引：28
|
作者：
Sun, Xueying [1 ,2 ]
Cui, Renhao [1 ,2 ]
机构：
[1] Harbin Normal Univ, YY Tseng Funct Anal Res Ctr, Harbin 150025, Heilongjiang, Peoples R China
[2] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 490卷 / 01期
基金：
中国国家自然科学基金;
关键词：
SIS epidemic model with linear source; Saturated incidence rate; Spatially heterogeneous; Endemic equilibrium; Asymptotic profile; POSITIVE STEADY-STATE; ASYMPTOTIC PROFILES; ENDEMIC EQUILIBRIUM; ELLIPTIC-EQUATIONS; GLOBAL ATTRACTORS; INFECTION; DYNAMICS; RISK;
D O I：
10.1016/j.jmaa.2020.124212
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with a reaction-diffusion SIS epidemic model with saturated incidence rate and linear source in spatially heterogeneous environments. We derive the uniform bounds of parabolic system and study the extinction and persistence of the infectious disease in terms of the basic reproduction number. The existence of the endemic equilibrium (EE) is established when the basic reproduction number is greater than one. We further investigate the effects of diffusion and saturation on asymptotic profiles of the endemic equilibrium. Our study shows that the linear source can enhance persistence of infectious disease and large saturation can help speed up the elimination of disease. (C) 2020 Elsevier Inc. All rights reserved.
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页数：22
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