Studies on the basic reproduction number in stochastic epidemic models with random perturbations

In this paper, we discuss the basic reproduction number of stochastic epidemic models with random perturbations. We define the basic reproduction number in epidemic models by using the integral of a function or survival function. We study the systems of stochastic differential equations for SIR, SIS...

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Autores principales: Ríos-Gutiérrez, Andrés, Torres, Soledad, Arunachalam, Viswanathan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8196940/
https://www.ncbi.nlm.nih.gov/pubmed/34149835
http://dx.doi.org/10.1186/s13662-021-03445-2
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author Ríos-Gutiérrez, Andrés
Torres, Soledad
Arunachalam, Viswanathan
author_facet Ríos-Gutiérrez, Andrés
Torres, Soledad
Arunachalam, Viswanathan
author_sort Ríos-Gutiérrez, Andrés
collection PubMed
description In this paper, we discuss the basic reproduction number of stochastic epidemic models with random perturbations. We define the basic reproduction number in epidemic models by using the integral of a function or survival function. We study the systems of stochastic differential equations for SIR, SIS, and SEIR models and their stability analysis. Some results on deterministic epidemic models are also obtained. We give the numerical conditions for which the disease-free equilibrium point is asymptotically stable.
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spelling pubmed-81969402021-06-15 Studies on the basic reproduction number in stochastic epidemic models with random perturbations Ríos-Gutiérrez, Andrés Torres, Soledad Arunachalam, Viswanathan Adv Differ Equ Research In this paper, we discuss the basic reproduction number of stochastic epidemic models with random perturbations. We define the basic reproduction number in epidemic models by using the integral of a function or survival function. We study the systems of stochastic differential equations for SIR, SIS, and SEIR models and their stability analysis. Some results on deterministic epidemic models are also obtained. We give the numerical conditions for which the disease-free equilibrium point is asymptotically stable. Springer International Publishing 2021-06-12 2021 /pmc/articles/PMC8196940/ /pubmed/34149835 http://dx.doi.org/10.1186/s13662-021-03445-2 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
Ríos-Gutiérrez, Andrés
Torres, Soledad
Arunachalam, Viswanathan
Studies on the basic reproduction number in stochastic epidemic models with random perturbations
title Studies on the basic reproduction number in stochastic epidemic models with random perturbations
title_full Studies on the basic reproduction number in stochastic epidemic models with random perturbations
title_fullStr Studies on the basic reproduction number in stochastic epidemic models with random perturbations
title_full_unstemmed Studies on the basic reproduction number in stochastic epidemic models with random perturbations
title_short Studies on the basic reproduction number in stochastic epidemic models with random perturbations
title_sort studies on the basic reproduction number in stochastic epidemic models with random perturbations
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8196940/
https://www.ncbi.nlm.nih.gov/pubmed/34149835
http://dx.doi.org/10.1186/s13662-021-03445-2
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