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Numerical Study on Stochastic Diabetes Mellitus Model with Additive Noise
This article focuses on the numerical analysis and simulation of the stochastic diabetes mellitus model with additive noise. The existence and uniqueness theorem of the solution under some appropriate assumptions is established. And, the mean square stability and convergence of numerical solutions a...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Hindawi
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6590531/ https://www.ncbi.nlm.nih.gov/pubmed/31281410 http://dx.doi.org/10.1155/2019/5409180 |
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author | Zhang, Zhifang Zhan, Qingyi Xie, Xiangdong |
author_facet | Zhang, Zhifang Zhan, Qingyi Xie, Xiangdong |
author_sort | Zhang, Zhifang |
collection | PubMed |
description | This article focuses on the numerical analysis and simulation of the stochastic diabetes mellitus model with additive noise. The existence and uniqueness theorem of the solution under some appropriate assumptions is established. And, the mean square stability and convergence of numerical solutions are proposed, too. The practical use of these theorems is demonstrated in the numerical computations of the stochastic diabetes mellitus model and the value for the forecast of the tendency of diabetes mellitus in a given time. |
format | Online Article Text |
id | pubmed-6590531 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | Hindawi |
record_format | MEDLINE/PubMed |
spelling | pubmed-65905312019-07-07 Numerical Study on Stochastic Diabetes Mellitus Model with Additive Noise Zhang, Zhifang Zhan, Qingyi Xie, Xiangdong Comput Math Methods Med Research Article This article focuses on the numerical analysis and simulation of the stochastic diabetes mellitus model with additive noise. The existence and uniqueness theorem of the solution under some appropriate assumptions is established. And, the mean square stability and convergence of numerical solutions are proposed, too. The practical use of these theorems is demonstrated in the numerical computations of the stochastic diabetes mellitus model and the value for the forecast of the tendency of diabetes mellitus in a given time. Hindawi 2019-06-10 /pmc/articles/PMC6590531/ /pubmed/31281410 http://dx.doi.org/10.1155/2019/5409180 Text en Copyright © 2019 Zhifang Zhang 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 Zhang, Zhifang Zhan, Qingyi Xie, Xiangdong Numerical Study on Stochastic Diabetes Mellitus Model with Additive Noise |
title | Numerical Study on Stochastic Diabetes Mellitus Model with Additive Noise |
title_full | Numerical Study on Stochastic Diabetes Mellitus Model with Additive Noise |
title_fullStr | Numerical Study on Stochastic Diabetes Mellitus Model with Additive Noise |
title_full_unstemmed | Numerical Study on Stochastic Diabetes Mellitus Model with Additive Noise |
title_short | Numerical Study on Stochastic Diabetes Mellitus Model with Additive Noise |
title_sort | numerical study on stochastic diabetes mellitus model with additive noise |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6590531/ https://www.ncbi.nlm.nih.gov/pubmed/31281410 http://dx.doi.org/10.1155/2019/5409180 |
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