期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 490, 期 1, 页码 -出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2020.124212
关键词
SIS epidemic model with linear source; Saturated incidence rate; Spatially heterogeneous; Endemic equilibrium; Asymptotic profile
资金
- National Natural Science Foundation of China [11571364]
- Natural Science Foundation of Heilongjiang Province [JJ2016ZR0019]
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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