糖尿病人群发展状况预警建模研究

Abstract

Abstract:

The rapid development of diabetes has become a serious public health problem, diabetes can induce a variety of
chronic complications, and enormous economic burden to society and individuals. In this paper, we setup a mathematical warning model to study the development of diabetes and prove that a system exists non-negative
dynamic solution and steady-state solution under the assumption in the system model. We calculate dynamic solutions to the probability of time stages of diabetes, while the steady state solution can be the probability of diabetes stage when the time is full. Patients with diabetes in China are close to one hundred million people, nearly 150 million people in the pre-diabetes, diabetes is very serious form of development. The control of blood glucose is the key of the control of diabetes. Through the different states of the blood sugar control undervthe development of different states, this paper obtains steady-state solution validates the severe form, and dynamic solutions play a role in early warning to the future development of the diabetes. Especially the dynamic solution converges to the steady-state solution in the sense of norm. And the indices of the system determined by the steady-state solution are reliable.

Key words: Diabetes, Glucose, Abstract evolution equations, Asymptotic stability, Reliability

CLC Number:

60F15

LIU Dan-Hong, XU Gen-Qi. Study on the Diabetic Population Development of Early Warning Modeling[J].Acta mathematica scientia,Series A, 2014, 34(3): 495-511.

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Study on the Diabetic Population Development of Early Warning Modeling

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