分布式阶梯汉坦病毒模型及其非标准离散化和稳定性分析

IF 2.1 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2024-08-30 DOI:10.1002/mma.10442

Mehmet Kocabiyik, Mevlüde Yakit Ongun

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引用次数: 0

摘要

提前了解致命病毒对人类的影响至关重要。传染性汉坦病毒就是这样一种病毒。由于病毒在不同条件下的影响各不相同，本研究使用分布阶微分方程对病毒进行建模。由于分布阶微分方程通过纳入密度函数有效地捕捉了不同条件下的变量效应，因此本研究的目标是在提出方程系统后，通过离散化方法实现求解。离散化采用了非标准有限差分方案（NSFD）。然后研究了离散化系统的稳定性分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Distributed order hantavirus model and its nonstandard discretizations and stability analysis

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Distributed order hantavirus model and its nonstandard discretizations and stability analysis

It is crucial to understand the effects of deadly viruses on humans in advance. One such virus is the infectious hantavirus. Since the effects of viruses vary under different conditions, this study models the virus using distributed order differential equations. Because distributed order differential equations effectively capture variable effects in different conditions through the incorporated density function, this study aims to achieve a solution via the discretization method after presenting the equation system. A nonstandard finite difference scheme (NSFD) is used for the discretization. Then the stability analysis of the discretized system is investigated.

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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.