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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
Descripción
Sumario: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.