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Analysis of the stochastic model for predicting the novel coronavirus disease
In this paper, we propose a mathematical model to predict the novel coronavirus. Due to the rapid spread of the novel coronavirus disease in the world, we add to the deterministic model of the coronavirus the terms of the stochastic perturbations. In other words, we consider in this paper a stochast...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Springer International Publishing
2020
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7543041/ https://www.ncbi.nlm.nih.gov/pubmed/33052201 http://dx.doi.org/10.1186/s13662-020-03025-w |
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author | Sene, Ndolane |
author_facet | Sene, Ndolane |
author_sort | Sene, Ndolane |
collection | PubMed |
description | In this paper, we propose a mathematical model to predict the novel coronavirus. Due to the rapid spread of the novel coronavirus disease in the world, we add to the deterministic model of the coronavirus the terms of the stochastic perturbations. In other words, we consider in this paper a stochastic model to predict the novel coronavirus. The equilibrium points of the deterministic model have been determined, and the reproduction number of our deterministic model has been implemented. The asymptotic behaviors of the solutions of the stochastic model around the equilibrium points have been studied. The numerical investigations and the graphical representations obtained with the novel stochastic model are made using the classical stochastic numerical scheme. |
format | Online Article Text |
id | pubmed-7543041 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | Springer International Publishing |
record_format | MEDLINE/PubMed |
spelling | pubmed-75430412020-10-09 Analysis of the stochastic model for predicting the novel coronavirus disease Sene, Ndolane Adv Differ Equ Research In this paper, we propose a mathematical model to predict the novel coronavirus. Due to the rapid spread of the novel coronavirus disease in the world, we add to the deterministic model of the coronavirus the terms of the stochastic perturbations. In other words, we consider in this paper a stochastic model to predict the novel coronavirus. The equilibrium points of the deterministic model have been determined, and the reproduction number of our deterministic model has been implemented. The asymptotic behaviors of the solutions of the stochastic model around the equilibrium points have been studied. The numerical investigations and the graphical representations obtained with the novel stochastic model are made using the classical stochastic numerical scheme. Springer International Publishing 2020-10-08 2020 /pmc/articles/PMC7543041/ /pubmed/33052201 http://dx.doi.org/10.1186/s13662-020-03025-w Text en © The Author(s) 2020 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/. |
spellingShingle | Research Sene, Ndolane Analysis of the stochastic model for predicting the novel coronavirus disease |
title | Analysis of the stochastic model for predicting the novel coronavirus disease |
title_full | Analysis of the stochastic model for predicting the novel coronavirus disease |
title_fullStr | Analysis of the stochastic model for predicting the novel coronavirus disease |
title_full_unstemmed | Analysis of the stochastic model for predicting the novel coronavirus disease |
title_short | Analysis of the stochastic model for predicting the novel coronavirus disease |
title_sort | analysis of the stochastic model for predicting the novel coronavirus disease |
topic | Research |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7543041/ https://www.ncbi.nlm.nih.gov/pubmed/33052201 http://dx.doi.org/10.1186/s13662-020-03025-w |
work_keys_str_mv | AT senendolane analysisofthestochasticmodelforpredictingthenovelcoronavirusdisease |