DYNAMICS OF SPATIALLY HETEROGENEOUS VIRAL MODEL WITH TIME DELAY

被引：7
作者：
Yang, Hong [1 ,2 ]
Wei, Junjie [2 ,3 ]
机构：
[1] Jiangsu Ocean Univ, Sch Sci, Lianyungang 222005, Jiangsu, Peoples R China
[2] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
[3] Jimei Univ, Sch Sci, Xiamen 361021, Fujian, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2020年 / 19卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Viral model; diffusion; delay; persistence; global attractivity; GLOBAL STABILITY; HBV MODEL; DIFFUSION;
D O I：
10.3934/cpaa.2020005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A delayed reaction-diffusion virus model with a general incidence function and spatially dependent parameters is investigated. The basic reproduction number for the model is derived, and the uniform persistence of solutions and global attractively of the equilibria are proved. We also show the global attractivity of the positive equilibria via constructing Lyapunov functional, in case that all the parameters are spatially independent. Numerical simulations are finally conducted to illustrate these analytical results.
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页码：85 / 102
页数：18
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