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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...

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Detalles Bibliográficos
Autores principales: Zhang, Zhifang, Zhan, Qingyi, Xie, Xiangdong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2019
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.
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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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