Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate

In this paper, a stochastic SIRV epidemic model with general nonlinear incidence and vaccination is investigated. The value of our study lies in two aspects. Mathematically, with the help of Lyapunov function method and stochastic analysis theory, we obtain a stochastic threshold of the model that c...

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Autores principales: Rifhat, Ramziya, Teng, Zhidong, Wang, Chunxia
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8028612/
https://www.ncbi.nlm.nih.gov/pubmed/33846684
http://dx.doi.org/10.1186/s13662-021-03347-3
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author Rifhat, Ramziya
Teng, Zhidong
Wang, Chunxia
author_facet Rifhat, Ramziya
Teng, Zhidong
Wang, Chunxia
author_sort Rifhat, Ramziya
collection PubMed
description In this paper, a stochastic SIRV epidemic model with general nonlinear incidence and vaccination is investigated. The value of our study lies in two aspects. Mathematically, with the help of Lyapunov function method and stochastic analysis theory, we obtain a stochastic threshold of the model that completely determines the extinction and persistence of the epidemic. Epidemiologically, we find that random fluctuations can suppress disease outbreak, which can provide us some useful control strategies to regulate disease dynamics. In other words, neglecting random perturbations overestimates the ability of the disease to spread. The numerical simulations are given to illustrate the main theoretical results.
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spelling pubmed-80286122021-04-08 Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate Rifhat, Ramziya Teng, Zhidong Wang, Chunxia Adv Differ Equ Research In this paper, a stochastic SIRV epidemic model with general nonlinear incidence and vaccination is investigated. The value of our study lies in two aspects. Mathematically, with the help of Lyapunov function method and stochastic analysis theory, we obtain a stochastic threshold of the model that completely determines the extinction and persistence of the epidemic. Epidemiologically, we find that random fluctuations can suppress disease outbreak, which can provide us some useful control strategies to regulate disease dynamics. In other words, neglecting random perturbations overestimates the ability of the disease to spread. The numerical simulations are given to illustrate the main theoretical results. Springer International Publishing 2021-04-08 2021 /pmc/articles/PMC8028612/ /pubmed/33846684 http://dx.doi.org/10.1186/s13662-021-03347-3 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/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/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Research
Rifhat, Ramziya
Teng, Zhidong
Wang, Chunxia
Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate
title Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate
title_full Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate
title_fullStr Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate
title_full_unstemmed Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate
title_short Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate
title_sort extinction and persistence of a stochastic sirv epidemic model with nonlinear incidence rate
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8028612/
https://www.ncbi.nlm.nih.gov/pubmed/33846684
http://dx.doi.org/10.1186/s13662-021-03347-3
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