Extinction and stationary distribution of stochastic hepatitis B virus model

IF 2.1 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2024-09-06 DOI:10.1002/mma.10467

C. Gokila, M. Sambath

引用次数: 0

Abstract

In this article, we develop a Hepatitis B virus model with six compartments affected by environmental fluctuations since the Hepatitis B virus produces serious liver infections in the human body, putting many people at high risk. The existence of a global positive solution is shown to prove the positivity of solutions. We demonstrate that the system experiences the extinction property for a specific parametric restriction. Besides that, we obtain the stochastic stability region for the proposed model through the stationary distribution. To determine the appearance and disappearance of infection in the population, we find and analyze the reproduction ratio . In addition, we have verified the condition of the reproduction ratio through the graphical simulations.

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随机乙型肝炎病毒模型的消亡和静态分布

由于乙型肝炎病毒会在人体内产生严重的肝脏感染，使许多人处于高风险之中，因此我们在本文中建立了一个乙型肝炎病毒模型，其中包含六个受环境波动影响的分区。全局正解的存在证明了解的实在性。我们证明了该系统在特定参数限制下的消亡特性。此外，我们还通过静态分布获得了所提模型的随机稳定区域。为了确定感染在种群中的出现和消失，我们找到并分析了繁殖率。此外，我们还通过图形模拟验证了繁殖率的条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.