Numerical Study on Stochastic Diabetes Mellitus Model with Additive Noise

Author:

Zhang Zhifang1ORCID,Zhan Qingyi2ORCID,Xie Xiangdong3ORCID

Affiliation:

1. Fujian Center for Disease Control and Prevention, Fuzhou, Fujian 350002, China

2. College of Computer and Information Science, Fujian Agriculture and Forestry University, Fuzhou 350002, China

3. Department of Mathematics, Ningde Normal University, Ningde, Fujian 352100, China

Abstract

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.

Funder

Department of Education, Fujian Province

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Immunology and Microbiology,General Biochemistry, Genetics and Molecular Biology,Modeling and Simulation,General Medicine

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