A class of delay SIQR-V models considering quarantine and vaccination: Validation based on the COVID-19 perspective

To contain the novel SARS-CoV-2 (COVID-19) spreading worldwide, governments generally adopt two measures: quarantining the infected people and vaccinating the susceptible people. To investigate the disease latency's influence on the transmission characteristics of the system, we establish a new...

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Autores principales:	Yuanyuan Ma, Yue Cui, Min Wang
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	SIQR-V epidemic model Delay Stability COVID-19 Physics QC1-999
Acceso en línea:	https://doaj.org/article/35efd1a538104555a68738e11f73d9a4
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spelling	oai:doaj.org-article:35efd1a538104555a68738e11f73d9a42021-11-14T04:32:33ZA class of delay SIQR-V models considering quarantine and vaccination: Validation based on the COVID-19 perspective2211-379710.1016/j.rinp.2021.104990https://doaj.org/article/35efd1a538104555a68738e11f73d9a42021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2211379721009967https://doaj.org/toc/2211-3797To contain the novel SARS-CoV-2 (COVID-19) spreading worldwide, governments generally adopt two measures: quarantining the infected people and vaccinating the susceptible people. To investigate the disease latency's influence on the transmission characteristics of the system, we establish a new SIQR-V (susceptible-infective-quarantined-recovered-vaccinated) dynamic model that focus on the effectiveness of quarantine and vaccination measures in the scale-free network. We use theoretical analysis and numerical simulation to explore the evolution trend of different nodes and factors influencing the system stability. The study shows that both the complexity of the network and latency delay can affect the evolution trend of the infected nodes in the system. Still, only latency delay can destroy the stability of the system. In addition, through the parameter sensitivity analysis of the basic reproduction number, we find that the effect of the vaccination parameter α on the basic reproduction number R0 is more significant than that of transmission rate β and quarantine parameter σ. It shows that vaccination is one of the most effective public policies to prevent infectious diseases’ spread. Finally, we calculate the basic reproduction numbers that are greater than one for Germany and Pakistan under COVID-19 and validate the model’s effectiveness based on the disease data of COVID-19 in Germany. The results show that the changing trend of the infected population in Germany based on the SIQR-V model is roughly the same as that reflected by the actual epidemic data in Germany. Therefore, providing suggestions and guidance for treating infectious diseases based on this model can effectively reduce the harm caused by the outbreak of contagious diseases.Yuanyuan MaYue CuiMin WangElsevierarticleSIQR-V epidemic modelDelayStabilityCOVID-19PhysicsQC1-999ENResults in Physics, Vol 31, Iss , Pp 104990- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	SIQR-V epidemic model Delay Stability COVID-19 Physics QC1-999
spellingShingle	SIQR-V epidemic model Delay Stability COVID-19 Physics QC1-999 Yuanyuan Ma Yue Cui Min Wang A class of delay SIQR-V models considering quarantine and vaccination: Validation based on the COVID-19 perspective
description	To contain the novel SARS-CoV-2 (COVID-19) spreading worldwide, governments generally adopt two measures: quarantining the infected people and vaccinating the susceptible people. To investigate the disease latency's influence on the transmission characteristics of the system, we establish a new SIQR-V (susceptible-infective-quarantined-recovered-vaccinated) dynamic model that focus on the effectiveness of quarantine and vaccination measures in the scale-free network. We use theoretical analysis and numerical simulation to explore the evolution trend of different nodes and factors influencing the system stability. The study shows that both the complexity of the network and latency delay can affect the evolution trend of the infected nodes in the system. Still, only latency delay can destroy the stability of the system. In addition, through the parameter sensitivity analysis of the basic reproduction number, we find that the effect of the vaccination parameter α on the basic reproduction number R0 is more significant than that of transmission rate β and quarantine parameter σ. It shows that vaccination is one of the most effective public policies to prevent infectious diseases’ spread. Finally, we calculate the basic reproduction numbers that are greater than one for Germany and Pakistan under COVID-19 and validate the model’s effectiveness based on the disease data of COVID-19 in Germany. The results show that the changing trend of the infected population in Germany based on the SIQR-V model is roughly the same as that reflected by the actual epidemic data in Germany. Therefore, providing suggestions and guidance for treating infectious diseases based on this model can effectively reduce the harm caused by the outbreak of contagious diseases.
format	article
author	Yuanyuan Ma Yue Cui Min Wang
author_facet	Yuanyuan Ma Yue Cui Min Wang
author_sort	Yuanyuan Ma
title	A class of delay SIQR-V models considering quarantine and vaccination: Validation based on the COVID-19 perspective
title_short	A class of delay SIQR-V models considering quarantine and vaccination: Validation based on the COVID-19 perspective
title_full	A class of delay SIQR-V models considering quarantine and vaccination: Validation based on the COVID-19 perspective
title_fullStr	A class of delay SIQR-V models considering quarantine and vaccination: Validation based on the COVID-19 perspective
title_full_unstemmed	A class of delay SIQR-V models considering quarantine and vaccination: Validation based on the COVID-19 perspective
title_sort	class of delay siqr-v models considering quarantine and vaccination: validation based on the covid-19 perspective
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/35efd1a538104555a68738e11f73d9a4
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A class of delay SIQR-V models considering quarantine and vaccination: Validation based on the COVID-19 perspective

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