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Dynamics of an SEIR model with infectivity in incubation period and homestead-isolation on the susceptible()
In this paper, we present an SEIR epidemic model with infectivity in incubation period and homestead-isolation on the susceptible. We prove that the infection-free equilibrium point is locally and globally asymptotically stable with condition [Formula: see text] We also prove that the positive equil...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Elsevier Ltd.
2020
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7182770/ https://www.ncbi.nlm.nih.gov/pubmed/32341623 http://dx.doi.org/10.1016/j.aml.2020.106442 |
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author | Jiao, Jianjun Liu, Zuozhi Cai, Shaohong |
author_facet | Jiao, Jianjun Liu, Zuozhi Cai, Shaohong |
author_sort | Jiao, Jianjun |
collection | PubMed |
description | In this paper, we present an SEIR epidemic model with infectivity in incubation period and homestead-isolation on the susceptible. We prove that the infection-free equilibrium point is locally and globally asymptotically stable with condition [Formula: see text] We also prove that the positive equilibrium point is locally and globally asymptotically stable with condition [Formula: see text] Numerical simulations are employed to illustrate our results. In the absence of vaccines or antiviral drugs for the virus, our results suggest that the governments should strictly implement the isolation system to make every effort to curb propagation of disease during the epidemic. |
format | Online Article Text |
id | pubmed-7182770 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | Elsevier Ltd. |
record_format | MEDLINE/PubMed |
spelling | pubmed-71827702020-04-27 Dynamics of an SEIR model with infectivity in incubation period and homestead-isolation on the susceptible() Jiao, Jianjun Liu, Zuozhi Cai, Shaohong Appl Math Lett Article In this paper, we present an SEIR epidemic model with infectivity in incubation period and homestead-isolation on the susceptible. We prove that the infection-free equilibrium point is locally and globally asymptotically stable with condition [Formula: see text] We also prove that the positive equilibrium point is locally and globally asymptotically stable with condition [Formula: see text] Numerical simulations are employed to illustrate our results. In the absence of vaccines or antiviral drugs for the virus, our results suggest that the governments should strictly implement the isolation system to make every effort to curb propagation of disease during the epidemic. Elsevier Ltd. 2020-09 2020-04-25 /pmc/articles/PMC7182770/ /pubmed/32341623 http://dx.doi.org/10.1016/j.aml.2020.106442 Text en © 2020 Elsevier Ltd. All rights reserved. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active. |
spellingShingle | Article Jiao, Jianjun Liu, Zuozhi Cai, Shaohong Dynamics of an SEIR model with infectivity in incubation period and homestead-isolation on the susceptible() |
title | Dynamics of an SEIR model with infectivity in incubation period and homestead-isolation on the susceptible() |
title_full | Dynamics of an SEIR model with infectivity in incubation period and homestead-isolation on the susceptible() |
title_fullStr | Dynamics of an SEIR model with infectivity in incubation period and homestead-isolation on the susceptible() |
title_full_unstemmed | Dynamics of an SEIR model with infectivity in incubation period and homestead-isolation on the susceptible() |
title_short | Dynamics of an SEIR model with infectivity in incubation period and homestead-isolation on the susceptible() |
title_sort | dynamics of an seir model with infectivity in incubation period and homestead-isolation on the susceptible() |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7182770/ https://www.ncbi.nlm.nih.gov/pubmed/32341623 http://dx.doi.org/10.1016/j.aml.2020.106442 |
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