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

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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Abstract

. 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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一种新型冠状病毒病(新冠肺炎)模型的阶分数稳定性分析
。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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来源期刊
Communications in Mathematical Biology and Neuroscience
Communications in Mathematical Biology and Neuroscience COMPUTER SCIENCE, INFORMATION SYSTEMS-
CiteScore
2.10
自引率
15.40%
发文量
80
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.
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