A Class of Deterministic and Stochastic Fractional Epidemic Models with Vaccination

In this paper, a class of fractional deterministic and stochastic susceptible-infected-removed- susceptible (SIRS) epidemic models with vaccination is proposed. For the fractional deterministic SIRS epidemic model, the existence of solution and the stability of equilibrium points are analyzed by usi...

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Detalles Bibliográficos
Autores principales: Xue, Tingting, Fan, Xiaolin, Zhu, Jian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9398855/
https://www.ncbi.nlm.nih.gov/pubmed/36017144
http://dx.doi.org/10.1155/2022/1797258
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author Xue, Tingting
Fan, Xiaolin
Zhu, Jian
author_facet Xue, Tingting
Fan, Xiaolin
Zhu, Jian
author_sort Xue, Tingting
collection PubMed
description In this paper, a class of fractional deterministic and stochastic susceptible-infected-removed- susceptible (SIRS) epidemic models with vaccination is proposed. For the fractional deterministic SIRS epidemic model, the existence of solution and the stability of equilibrium points are analyzed by using dynamic method. Then, the appropriate controls are established to effectively control the disease and eliminate it. On this basis, the fractional stochastic SIRS epidemic model with vaccination is further considered, and a numerical approximation method is proposed. The correctness of the conclusion is verified by numerical simulation.
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spelling pubmed-93988552022-08-24 A Class of Deterministic and Stochastic Fractional Epidemic Models with Vaccination Xue, Tingting Fan, Xiaolin Zhu, Jian Comput Math Methods Med Research Article In this paper, a class of fractional deterministic and stochastic susceptible-infected-removed- susceptible (SIRS) epidemic models with vaccination is proposed. For the fractional deterministic SIRS epidemic model, the existence of solution and the stability of equilibrium points are analyzed by using dynamic method. Then, the appropriate controls are established to effectively control the disease and eliminate it. On this basis, the fractional stochastic SIRS epidemic model with vaccination is further considered, and a numerical approximation method is proposed. The correctness of the conclusion is verified by numerical simulation. Hindawi 2022-08-16 /pmc/articles/PMC9398855/ /pubmed/36017144 http://dx.doi.org/10.1155/2022/1797258 Text en Copyright © 2022 Tingting Xue 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
Xue, Tingting
Fan, Xiaolin
Zhu, Jian
A Class of Deterministic and Stochastic Fractional Epidemic Models with Vaccination
title A Class of Deterministic and Stochastic Fractional Epidemic Models with Vaccination
title_full A Class of Deterministic and Stochastic Fractional Epidemic Models with Vaccination
title_fullStr A Class of Deterministic and Stochastic Fractional Epidemic Models with Vaccination
title_full_unstemmed A Class of Deterministic and Stochastic Fractional Epidemic Models with Vaccination
title_short A Class of Deterministic and Stochastic Fractional Epidemic Models with Vaccination
title_sort class of deterministic and stochastic fractional epidemic models with vaccination
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9398855/
https://www.ncbi.nlm.nih.gov/pubmed/36017144
http://dx.doi.org/10.1155/2022/1797258
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