Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment

被引:0
|
作者
Yang, Yu [1 ]
Hsu, Cheng-Hsiung [2 ]
Zou, Lan [3 ]
Zhou, Jinling [4 ]
机构
[1] Shanghai Lixin Univ Accounting & Finance, Sch Stat & Math, Shanghai 201209, Peoples R China
[2] Natl Cent Univ, Dept Math, Taoyuan 32001, Taiwan
[3] Capital Normal Univ, Sch Math Sci, Beijing 100089, Peoples R China
[4] Zhejiang Int Studies Univ, Dept Math, Hangzhou 310023, Peoples R China
关键词
HBV infection model; Spatial heterogeneity; Principal eigenvalue; Global attractivity; MATHEMATICAL-ANALYSIS; REPRODUCTION NUMBER; GLOBAL STABILITY; STEADY-STATES; PERSISTENCE; ATTRACTORS; EQUATIONS; PROFILES; SYSTEM;
D O I
10.1007/s00332-024-10017-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with threshold dynamics of a degenerate diffusive HBV infection model with DNA-containing capsids in heterogeneous environment. We firstly address the existence of global solutions, uniform and ultimate boundedness of solutions, asymptotic smoothness of semiflows and existence of a connected global attractor for the diffusive model. Then, we identify the basic reproduction numberR0and establish a threshold-type result for the disease eradication or uniform persistencewhenR(0)<= 1 or R-0>1, respectively. Especially, when R-0>1 and the diffusion rate of capsids or the diffusion rate of virions is zero, we further show that the model admits a unique infection steady state which is globally attractive. Our results indicate that the pathogen can be eliminated by limiting the mobility of the capsids or virions.
引用
收藏
页数:27
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