一种新型冠状病毒病（新冠肺炎）模型的阶分数稳定性分析

IF 0.5 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS

Communications in Mathematical Biology and Neuroscience Pub Date : 2023-01-01 DOI:10.28919/cmbn/8064

A. Labzai, Mohamed Baroudi, M. Belam, Mostafa Rachik

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引用次数: 0

摘要

。在本文中，我们提出了一个分数阶SEIHR Covid-19大流行模型，该模型描述了冠状病毒在人群中的传播能力。我们证明了解的整体存在性、正性和有界性。此外，利用Routh-Hurwitz准则和构造适当的Lyapunov函数，研究了无病平衡点和疾病平衡点的局部稳定性和全局稳定性。最后，通过数值模拟验证了理论结果

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Stability analysis of an order fractional of a new corona virus disease (COVID-19) model

. In this paper, we propose a fractional order SEIHR pandemic model of Covid-19 that describes the spreadability of Corona virus within a population. We prove the global existence, positivity, and boundedness of solutions. In addition, the local and the global stability of the disease-free equilibrium and the disease equilibrium are studied by using Routh-Hurwitz criteria and construction an appropriate Lyapunov functions. Finally, numerical simulations are performed to verify the theoretical results

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来源期刊

Communications in Mathematical Biology and Neuroscience COMPUTER SCIENCE, INFORMATION SYSTEMS-

CiteScore

2.10

自引率

15.40%

发文量

期刊介绍： Communications in Mathematical Biology and Neuroscience (CMBN) is a peer-reviewed open access international journal, which is aimed to provide a publication forum for important research in all aspects of mathematical biology and neuroscience. This journal will accept high quality articles containing original research results and survey articles of exceptional merit.