考虑隔离政策的SLIVR COVID-19流行模型稳定性分析

IF 0.8 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS

Communications in Mathematical Biology and Neuroscience Pub Date : 2023-01-01 DOI:10.28919/cmbn/8092

EL YOUSSRA HAJRI, Mehdi Farah, Amina Allali, Saida Amine

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引用次数: 0

摘要

．在本文中，我们提出了一个数学模型来说明COVID-19疾病与疫苗接种和隔离策略的动态。所提出的模型包含五个方程，描述易感、暴露、感染、接种疫苗和康复个体之间的相互作用。我们首先验证解的正性和有界性。证明了无病平衡和地方病平衡的存在性和稳定性。最后，进行数值模拟以展示感染随时间的行为，并说明隔离和接种疫苗对COVID-19动态和控制疾病传播的基本繁殖数mathcalR 0的影响。

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Stability analysis of SLIVR COVID-19 epidemic model with quarantine policy

. In this paper, we present a mathematical model illustrating the dynamics of the COVID-19 disease with vaccination and quarantine strategies. The presented model contains ﬁve equations that describe the interaction between individuals who are susceptible, exposed, infected, vaccinated, and recovered. We start the study by verifying the positivity and boundedness of solutions. The existence and the stability of both disease-free equilibrium and endemic equilibrium are proved. Finally, numerical simulations are performed to demonstrate the behavior of the infection over time and to say the inﬂuence of quarantine and vaccination on both the COVID-19 dynamics and the basic reproduction number mathcalR 0 for controlling the disease’s spread.

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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.