无遗传因素糖尿病疾病的数学模型与治疗

Nurul Fitriyah, M. W. Musthofa, Pipit Pratiwi Rahayu
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引用次数: 2

摘要

糖尿病是一种以血液中葡萄糖水平升高(高血糖症)为特征的代谢性疾病,由于胰岛素分泌异常导致各种慢性并发症。糖尿病被称为疾病之母,因为它是高血压、心脏病、中风和失明等各种其他疾病的根源。本文研究的是无遗传因素的糖尿病经治疗后的数学模型,本例中采用的模型为SEIIT形式。分析包括确定模型的平衡点、确定基本再生数(R0)和分析平衡点周围的稳定性。在此基础上,利用数学模型中的相关参数值进行了数值模拟,该数学模型描述了每个子种群类别的情况。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Mathematics Model of Diabetes Mellitus Illness without Genetic Factors with Treatment
Diabetes Mellitus is a metabolic disorder characterized by an increase in glucose levels in the blood (hyperglycemia), which causes various chronic complications due to abnormalities in insulin secretion. Diabetes Mellitus is known as the Mother of Disease because it is the mother of various other diseases such as hypertension, heart disease, stroke and blindness. In this paper, what would be studied was a mathematical model of Diabetes Mellitus without genetic factors with treatment, the model used for the approach in this case was in the form of SEIIT. The analysis includes determining the model's equilibrium point, determining the basic reproduction number (R0) and analyzing the stability around the equilibrium point. Furthermore, numerical simulation using MAPLE was given based on the values of the related parameters in the mathematical model that describes the conditions in each subpopulation class.
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