在异质环境中含 DNA 头壳的退化扩散型 HBV 感染模型的阈值动态变化

IF 2.6 2区 数学 Q1 MATHEMATICS, APPLIED
Yu Yang, Cheng-Hsiung Hsu, Lan Zou, Jinling Zhou
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引用次数: 0

摘要

本文研究的是在异质环境中含有 DNA 外壳的退化扩散型 HBV 感染模型的阈值动力学。我们首先讨论了扩散模型的全局解的存在性、解的均匀性和终极有界性、半流的渐近平稳性以及全局吸引子的存在性。然后,我们确定了基本繁殖数\({\mathcal {R}}_0\) 并分别建立了当\({\mathcal {R}}_0\le 1\) 或\({\mathcal {R}}_0>1\) 时疾病根除或均匀持续的阈值型结果。特别是,当 \({\mathcal {R}}_0>1\) 和囊壳的扩散率或病毒的扩散率为零时,我们进一步证明该模型存在一个唯一的感染稳态,该稳态具有全局吸引力。我们的结果表明,可以通过限制囊壳或病毒的流动性来消灭病原体。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment

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 number \({\mathcal {R}}_0\) and establish a threshold-type result for the disease eradication or uniform persistence when \({\mathcal {R}}_0\le 1\) or \({\mathcal {R}}_0>1\), respectively. Especially, when \({\mathcal {R}}_0>1\) 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.

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来源期刊
CiteScore
5.00
自引率
3.30%
发文量
87
审稿时长
4.5 months
期刊介绍: The mission of the Journal of Nonlinear Science is to publish papers that augment the fundamental ways we describe, model, and predict nonlinear phenomena. Papers should make an original contribution to at least one technical area and should in addition illuminate issues beyond that area''s boundaries. Even excellent papers in a narrow field of interest are not appropriate for the journal. Papers can be oriented toward theory, experimentation, algorithms, numerical simulations, or applications as long as the work is creative and sound. Excessively theoretical work in which the application to natural phenomena is not apparent (at least through similar techniques) or in which the development of fundamental methodologies is not present is probably not appropriate. In turn, papers oriented toward experimentation, numerical simulations, or applications must not simply report results without an indication of what a theoretical explanation might be. All papers should be submitted in English and must meet common standards of usage and grammar. In addition, because ours is a multidisciplinary subject, at minimum the introduction to the paper should be readable to a broad range of scientists and not only to specialists in the subject area. The scientific importance of the paper and its conclusions should be made clear in the introduction-this means that not only should the problem you study be presented, but its historical background, its relevance to science and technology, the specific phenomena it can be used to describe or investigate, and the outstanding open issues related to it should be explained. Failure to achieve this could disqualify the paper.
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