Analysis and simulation of a stochastic COVID-19 model with large-scale nucleic acid detection and isolation measures: A case study of the outbreak in Urumqi, China in August 2022

In this paper, a stochastic COVID-19 model with large-scale nucleic acid detection and isolation measures is proposed. Firstly, the existence and uniqueness of the global positive solution is obtained. Secondly, threshold criteria for the stochastic extinction and persistence in the mean with probab...

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Autores principales: Zeng, Ting, Teng, Zhidong, Rifhat, Ramziya, Wang, Xiaodong, Wang, Lei, Wang, Kai
Formato: Online Artículo Texto
Lenguaje:English
Publicado: KeAi Publishing 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10069993/
https://www.ncbi.nlm.nih.gov/pubmed/37035468
http://dx.doi.org/10.1016/j.idm.2023.03.004
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author Zeng, Ting
Teng, Zhidong
Rifhat, Ramziya
Wang, Xiaodong
Wang, Lei
Wang, Kai
author_facet Zeng, Ting
Teng, Zhidong
Rifhat, Ramziya
Wang, Xiaodong
Wang, Lei
Wang, Kai
author_sort Zeng, Ting
collection PubMed
description In this paper, a stochastic COVID-19 model with large-scale nucleic acid detection and isolation measures is proposed. Firstly, the existence and uniqueness of the global positive solution is obtained. Secondly, threshold criteria for the stochastic extinction and persistence in the mean with probability one are established. Moreover, a sufficient condition for the existence of unique ergodic stationary distribution for any positive solution is also established. Finally, numerical simulations are carried out in combination with real COVID-19 data from Urumqi, China and the theoretical results are verified.
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spelling pubmed-100699932023-04-04 Analysis and simulation of a stochastic COVID-19 model with large-scale nucleic acid detection and isolation measures: A case study of the outbreak in Urumqi, China in August 2022 Zeng, Ting Teng, Zhidong Rifhat, Ramziya Wang, Xiaodong Wang, Lei Wang, Kai Infect Dis Model Article In this paper, a stochastic COVID-19 model with large-scale nucleic acid detection and isolation measures is proposed. Firstly, the existence and uniqueness of the global positive solution is obtained. Secondly, threshold criteria for the stochastic extinction and persistence in the mean with probability one are established. Moreover, a sufficient condition for the existence of unique ergodic stationary distribution for any positive solution is also established. Finally, numerical simulations are carried out in combination with real COVID-19 data from Urumqi, China and the theoretical results are verified. KeAi Publishing 2023-03-31 /pmc/articles/PMC10069993/ /pubmed/37035468 http://dx.doi.org/10.1016/j.idm.2023.03.004 Text en © 2023 The Authors
spellingShingle Article
Zeng, Ting
Teng, Zhidong
Rifhat, Ramziya
Wang, Xiaodong
Wang, Lei
Wang, Kai
Analysis and simulation of a stochastic COVID-19 model with large-scale nucleic acid detection and isolation measures: A case study of the outbreak in Urumqi, China in August 2022
title Analysis and simulation of a stochastic COVID-19 model with large-scale nucleic acid detection and isolation measures: A case study of the outbreak in Urumqi, China in August 2022
title_full Analysis and simulation of a stochastic COVID-19 model with large-scale nucleic acid detection and isolation measures: A case study of the outbreak in Urumqi, China in August 2022
title_fullStr Analysis and simulation of a stochastic COVID-19 model with large-scale nucleic acid detection and isolation measures: A case study of the outbreak in Urumqi, China in August 2022
title_full_unstemmed Analysis and simulation of a stochastic COVID-19 model with large-scale nucleic acid detection and isolation measures: A case study of the outbreak in Urumqi, China in August 2022
title_short Analysis and simulation of a stochastic COVID-19 model with large-scale nucleic acid detection and isolation measures: A case study of the outbreak in Urumqi, China in August 2022
title_sort analysis and simulation of a stochastic covid-19 model with large-scale nucleic acid detection and isolation measures: a case study of the outbreak in urumqi, china in august 2022
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10069993/
https://www.ncbi.nlm.nih.gov/pubmed/37035468
http://dx.doi.org/10.1016/j.idm.2023.03.004
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