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

来源：

JOURNAL OF NONLINEAR SCIENCE | 2024年 / 34卷 / 03期

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

页数：27