文献详情
Global stability analysis of a viral infection model in a critical case
文献类型：期刊
通讯作者：Wang, W (reprint author), Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China.
期刊名称：MATHEMATICAL BIOSCIENCES AND ENGINEERING
年：2020
卷：17
期：2
页码：1442-1449
ISSN：1547-1063
关键词：reaction-diffusion equation model; global attractor; globally attractive; asymptotical stability
所属部门：数学科学研究院
摘要：Recently, it has been proved that for the diffusive viral infection model with cell-to-cell infection, the virus-free steady state E-0 is globally attractive when the basic reproduction number R-0 < 1, and the virus is uniformly persistent if R-0 > 1. However, the global stability analysis in the critical case of R-0 = 1 is not given due to a technical difficulty. For the diffusive viral infection model including a single equation with diffusion term, global stability analysis in the critical ca ...More
Recently, it has been proved that for the diffusive viral infection model with cell-to-cell infection, the virus-free steady state E-0 is globally attractive when the basic reproduction number R-0 < 1, and the virus is uniformly persistent if R-0 > 1. However, the global stability analysis in the critical case of R-0 = 1 is not given due to a technical difficulty. For the diffusive viral infection model including a single equation with diffusion term, global stability analysis in the critical case has been performed by constructing Lyapunov functions. Unfortunately, this method is not applicable for two or more equations with diffusion terms, which was left it as an open problem. The present study is devoted to solving this open problem and shows that E-0 is globally asymptotically stable when R-0 = 1 for three equations with diffusion terms by means of Gronwall's inequality, comparison theorem and the properties of semigroup. ...Hide

DOI：10.3934/mbe.2020074
百度学术：Global stability analysis of a viral infection model in a critical case
语言：外文
人气指数：3
浏览次数：3
基金：NNSF of ChinaNational Natural Science Foundation of China [11901360]; Fundamental Research Funds for the Central UniversitiesFundamental Research Funds for the Central Universities; Research Funds of Renmin University of China [2019030196]
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