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
刊名	Mathematical Biosciences and Engineering
	2020-06-03
卷号	17 期号:4 页码:4034-4047
关键词	Epidemiology Center manifold theorem Epidemic modeling Infectious disease Local stability Normal form methods Reaction diffusion SI epidemic models Spatiotemporal patterns
ISSN号	15471063
DOI	10.3934/MBE.2020223
英文摘要	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)
WOS研究方向	Mathematical & Computational Biology
语种	英语
出版者	American Institute of Mathematical Sciences
WOS记录号	WOS:000562958200013
内容类型	期刊论文
源URL	[http://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
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.