THRESHOLD PROPAGATION IN A MAY-NOWAK TYPE DEGENERATE REACTION-DIFFUSION VIRAL MODEL ON PERIODICALLY EVOLVING DOMAIN

doi:10.3934/dcdsb.2024134

	THRESHOLD PROPAGATION IN A MAY-NOWAK TYPE DEGENERATE REACTION-DIFFUSION VIRAL MODEL ON PERIODICALLY EVOLVING DOMAIN
	Wang, Jie 1; Song, Pengyu 1; Wang, Shuang-Ming2 ; Zhang, Yi 1
	2024-10
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
摘要	. The current paper is concerned with a time-periodic May-Nowak type degenerate reaction-diffusion model introduced to depict the propagation of viruses on a periodically evolving domain. Specifically, the key basic reproduction ratio R-0 is introduced for the current model, which serves as a fundamental threshold to distinguish the long-term viral propagation. In fact, it is adjacently demonstrated that the virus-free equilibrium is globally attractive provided R-0 <= 1, while the virus is uniformly persistent provided R-0 > 1. Furthermore, the global attractivity of the virus-present equilibrium is still established. Other than the method of upper and lower solutions routinely employed by earlier researchers, we are inclined to adopt some novel dynamic system approaches and periodic principal eigenvalue theories developed recently to achieve our key investigations due to the remarkable non-monotonicity of the system involved. The current study sheds light on the mechanisms underlying the viral spread, and provides some insights into the dynamics of epidemics in periodically evolving domains.
关键词	Degenerate reaction-diffusion system May-Nowak type viral model periodically evolving domain basic reproduction ratio threshold dynamics
DOI	10.3934/dcdsb.2024134
收录类别	SCIE
ISSN	1531-3492
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:001335758700001
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
原始文献类型	Article ; Early Access
EISSN	1553-524X
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/38151
专题	信息工程与人工智能学院
通讯作者	Wang, Jie
作者单位	1.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China; 2.Lanzhou Univ Finance & Econ, Sch Finance, Lanzhou 730020, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Wang, Jie,Song, Pengyu,Wang, Shuang-Ming,et al. THRESHOLD PROPAGATION IN A MAY-NOWAK TYPE DEGENERATE REACTION-DIFFUSION VIRAL MODEL ON PERIODICALLY EVOLVING DOMAIN[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2024.
APA	Wang, Jie,Song, Pengyu,Wang, Shuang-Ming,&Zhang, Yi.(2024).THRESHOLD PROPAGATION IN A MAY-NOWAK TYPE DEGENERATE REACTION-DIFFUSION VIRAL MODEL ON PERIODICALLY EVOLVING DOMAIN.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B.
MLA	Wang, Jie,et al."THRESHOLD PROPAGATION IN A MAY-NOWAK TYPE DEGENERATE REACTION-DIFFUSION VIRAL MODEL ON PERIODICALLY EVOLVING DOMAIN".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2024).