Stationary Distribution and Extinction of a Stochastic Brucellosis Model with Standard Incidence

In this paper, we proposed a stochastic SVEI brucellosis model with stage structure by introducing the effect of environmental white noise on transmission dynamics of brucellosis. By Has'minskii theory and constructing suitable Lyapunov functions, we established sufficient conditions on the exi...

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Autores principales: Iskandar, Dilnaray, Abdurahman, Xamxinur, Muhammadhaji, Ahmadjan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9201711/
https://www.ncbi.nlm.nih.gov/pubmed/35720044
http://dx.doi.org/10.1155/2022/4617685
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author Iskandar, Dilnaray
Abdurahman, Xamxinur
Muhammadhaji, Ahmadjan
author_facet Iskandar, Dilnaray
Abdurahman, Xamxinur
Muhammadhaji, Ahmadjan
author_sort Iskandar, Dilnaray
collection PubMed
description In this paper, we proposed a stochastic SVEI brucellosis model with stage structure by introducing the effect of environmental white noise on transmission dynamics of brucellosis. By Has'minskii theory and constructing suitable Lyapunov functions, we established sufficient conditions on the existence of ergodic stationary distribution for the considered model. Moreover, we also established sufficient condition for extinction of the disease. Finally, two examples with numerical simulations are given to illustrate the main results of this paper.
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spelling pubmed-92017112022-06-17 Stationary Distribution and Extinction of a Stochastic Brucellosis Model with Standard Incidence Iskandar, Dilnaray Abdurahman, Xamxinur Muhammadhaji, Ahmadjan Comput Math Methods Med Research Article In this paper, we proposed a stochastic SVEI brucellosis model with stage structure by introducing the effect of environmental white noise on transmission dynamics of brucellosis. By Has'minskii theory and constructing suitable Lyapunov functions, we established sufficient conditions on the existence of ergodic stationary distribution for the considered model. Moreover, we also established sufficient condition for extinction of the disease. Finally, two examples with numerical simulations are given to illustrate the main results of this paper. Hindawi 2022-05-29 /pmc/articles/PMC9201711/ /pubmed/35720044 http://dx.doi.org/10.1155/2022/4617685 Text en Copyright © 2022 Dilnaray Iskandar et al. https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Iskandar, Dilnaray
Abdurahman, Xamxinur
Muhammadhaji, Ahmadjan
Stationary Distribution and Extinction of a Stochastic Brucellosis Model with Standard Incidence
title Stationary Distribution and Extinction of a Stochastic Brucellosis Model with Standard Incidence
title_full Stationary Distribution and Extinction of a Stochastic Brucellosis Model with Standard Incidence
title_fullStr Stationary Distribution and Extinction of a Stochastic Brucellosis Model with Standard Incidence
title_full_unstemmed Stationary Distribution and Extinction of a Stochastic Brucellosis Model with Standard Incidence
title_short Stationary Distribution and Extinction of a Stochastic Brucellosis Model with Standard Incidence
title_sort stationary distribution and extinction of a stochastic brucellosis model with standard incidence
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9201711/
https://www.ncbi.nlm.nih.gov/pubmed/35720044
http://dx.doi.org/10.1155/2022/4617685
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