The impact of media on the spatiotemporal pattern dynamics of a reaction-diffusion epidemic model

doi:10.3934/MBE.2020223

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	The impact of media on the spatiotemporal pattern dynamics of a reaction-diffusion epidemic model
	Meng, Xin-You; Zhang, Tao
	2020-06-03
发表期刊	Mathematical Biosciences and Engineering
ISSN	15471063
卷号	17 期号:4 页码:4034-4047
摘要	In this paper, a reaction-diffusion SI epidemic model with media impact is considered. The boundedness of system and the existence of the state are given. The local stabilities of the endemic states are analyzed. Sufficient conditions of the occurrence of the Turing pattern are obtained by the center manifold theorem and normal form method. Some numerical simulations are given to check in the theoretical results. We find that the influence of media not only inhibits the spread of infectious diseases, but also effects the spatial steady-state of model. © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
关键词	Epidemiology Center manifold theorem Epidemic modeling Infectious disease Local stability Normal form methods Reaction diffusion SI epidemic models Spatiotemporal patterns
DOI	10.3934/MBE.2020223
收录类别	EI
语种	英语
WOS研究方向	Mathematical & Computational Biology
WOS类目	Mathematical & Computational Biology
WOS记录号	WOS:000562958200013
出版者	American Institute of Mathematical Sciences
EI入藏号	20203909217725
EI主题词	Diffusion in liquids
EI分类号	461.7 Health Care
来源库	Compendex
分类代码	461.7 Health Care
引用统计	被引频次：3[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/115023
专题	理学院
作者单位	School of Science, Lanzhou University of Technology, Lanzhou, Gansu; 730050, China
第一作者单位	兰州理工大学
第一作者的第一单位	兰州理工大学
推荐引用方式 GB/T 7714	Meng, Xin-You,Zhang, Tao. The impact of media on the spatiotemporal pattern dynamics of a reaction-diffusion epidemic model[J]. Mathematical Biosciences and Engineering,2020,17(4):4034-4047.
APA	Meng, Xin-You,&Zhang, Tao.(2020).The impact of media on the spatiotemporal pattern dynamics of a reaction-diffusion epidemic model.Mathematical Biosciences and Engineering,17(4),4034-4047.
MLA	Meng, Xin-You,et al."The impact of media on the spatiotemporal pattern dynamics of a reaction-diffusion epidemic model".Mathematical Biosciences and Engineering 17.4(2020):4034-4047.