A time-delay COVID-19 propagation model considering supply chain transmission and hierarchical quarantine rate

In this manuscript, we investigate a novel Susceptible–Exposed–Infected–Quarantined–Recovered (SEIQR) COVID-19 propagation model with two delays, and we also consider supply chain transmission and hierarchical quarantine rate in this model. Firstly, we analyze the existence of an equilibrium, includ...

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Detalles Bibliográficos
Autores principales: Yang, Fangfang, Zhang, Zizhen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8008338/
https://www.ncbi.nlm.nih.gov/pubmed/33815492
http://dx.doi.org/10.1186/s13662-021-03342-8
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author Yang, Fangfang
Zhang, Zizhen
author_facet Yang, Fangfang
Zhang, Zizhen
author_sort Yang, Fangfang
collection PubMed
description In this manuscript, we investigate a novel Susceptible–Exposed–Infected–Quarantined–Recovered (SEIQR) COVID-19 propagation model with two delays, and we also consider supply chain transmission and hierarchical quarantine rate in this model. Firstly, we analyze the existence of an equilibrium, including a virus-free equilibrium and a virus-existence equilibrium. Then local stability and the occurrence of Hopf bifurcation have been researched by thinking of time delay as the bifurcation parameter. Besides, we calculate direction and stability of the Hopf bifurcation. Finally, we carry out some numerical simulations to prove the validity of theoretical results.
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spelling pubmed-80083382021-03-30 A time-delay COVID-19 propagation model considering supply chain transmission and hierarchical quarantine rate Yang, Fangfang Zhang, Zizhen Adv Differ Equ Research In this manuscript, we investigate a novel Susceptible–Exposed–Infected–Quarantined–Recovered (SEIQR) COVID-19 propagation model with two delays, and we also consider supply chain transmission and hierarchical quarantine rate in this model. Firstly, we analyze the existence of an equilibrium, including a virus-free equilibrium and a virus-existence equilibrium. Then local stability and the occurrence of Hopf bifurcation have been researched by thinking of time delay as the bifurcation parameter. Besides, we calculate direction and stability of the Hopf bifurcation. Finally, we carry out some numerical simulations to prove the validity of theoretical results. Springer International Publishing 2021-03-30 2021 /pmc/articles/PMC8008338/ /pubmed/33815492 http://dx.doi.org/10.1186/s13662-021-03342-8 Text en © The Author(s) 2021 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Research
Yang, Fangfang
Zhang, Zizhen
A time-delay COVID-19 propagation model considering supply chain transmission and hierarchical quarantine rate
title A time-delay COVID-19 propagation model considering supply chain transmission and hierarchical quarantine rate
title_full A time-delay COVID-19 propagation model considering supply chain transmission and hierarchical quarantine rate
title_fullStr A time-delay COVID-19 propagation model considering supply chain transmission and hierarchical quarantine rate
title_full_unstemmed A time-delay COVID-19 propagation model considering supply chain transmission and hierarchical quarantine rate
title_short A time-delay COVID-19 propagation model considering supply chain transmission and hierarchical quarantine rate
title_sort time-delay covid-19 propagation model considering supply chain transmission and hierarchical quarantine rate
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8008338/
https://www.ncbi.nlm.nih.gov/pubmed/33815492
http://dx.doi.org/10.1186/s13662-021-03342-8
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