Dynamical analysis of a stochastic delayed SIR epidemic model with vertical transmission and vaccination

In order to describe the dynamic process of epidemic transmission with vertical transmission and vaccination in more detail and to better track the factors that lead to the occurrence of epidemics, we construct a stochastic delayed model with a specific functional response to describe its epidemic d...

Descripción completa

Detalles Bibliográficos
Autores principales: Zhang, Xiaolei, Liu, Maoxing
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2022
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9024298/
https://www.ncbi.nlm.nih.gov/pubmed/35474915
http://dx.doi.org/10.1186/s13662-022-03707-7
_version_ 1784690547656491008
author Zhang, Xiaolei
Liu, Maoxing
author_facet Zhang, Xiaolei
Liu, Maoxing
author_sort Zhang, Xiaolei
collection PubMed
description In order to describe the dynamic process of epidemic transmission with vertical transmission and vaccination in more detail and to better track the factors that lead to the occurrence of epidemics, we construct a stochastic delayed model with a specific functional response to describe its epidemic dynamics. We first prove the existence and uniqueness of the positive solution of the model. Moreover, we analyze the sufficient conditions for the extinction and persistence of the model. Finally, numerical simulations are presented to illustrate our mathematical findings.
format Online
Article
Text
id pubmed-9024298
institution National Center for Biotechnology Information
language English
publishDate 2022
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-90242982022-04-22 Dynamical analysis of a stochastic delayed SIR epidemic model with vertical transmission and vaccination Zhang, Xiaolei Liu, Maoxing Adv Contin Discret Model Research In order to describe the dynamic process of epidemic transmission with vertical transmission and vaccination in more detail and to better track the factors that lead to the occurrence of epidemics, we construct a stochastic delayed model with a specific functional response to describe its epidemic dynamics. We first prove the existence and uniqueness of the positive solution of the model. Moreover, we analyze the sufficient conditions for the extinction and persistence of the model. Finally, numerical simulations are presented to illustrate our mathematical findings. Springer International Publishing 2022-04-22 2022 /pmc/articles/PMC9024298/ /pubmed/35474915 http://dx.doi.org/10.1186/s13662-022-03707-7 Text en © The Author(s) 2022 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
Zhang, Xiaolei
Liu, Maoxing
Dynamical analysis of a stochastic delayed SIR epidemic model with vertical transmission and vaccination
title Dynamical analysis of a stochastic delayed SIR epidemic model with vertical transmission and vaccination
title_full Dynamical analysis of a stochastic delayed SIR epidemic model with vertical transmission and vaccination
title_fullStr Dynamical analysis of a stochastic delayed SIR epidemic model with vertical transmission and vaccination
title_full_unstemmed Dynamical analysis of a stochastic delayed SIR epidemic model with vertical transmission and vaccination
title_short Dynamical analysis of a stochastic delayed SIR epidemic model with vertical transmission and vaccination
title_sort dynamical analysis of a stochastic delayed sir epidemic model with vertical transmission and vaccination
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9024298/
https://www.ncbi.nlm.nih.gov/pubmed/35474915
http://dx.doi.org/10.1186/s13662-022-03707-7
work_keys_str_mv AT zhangxiaolei dynamicalanalysisofastochasticdelayedsirepidemicmodelwithverticaltransmissionandvaccination
AT liumaoxing dynamicalanalysisofastochasticdelayedsirepidemicmodelwithverticaltransmissionandvaccination

Ejemplares similares