Mathematical modeling and analysis of anemia during pregnancy and postpartum.

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Accounts of Chemical Research Pub Date : 2021-02-01 Epub Date: 2021-02-15 DOI:10.1007/s12064-020-00334-2
Auni Aslah Mat Daud, Cher Qing Toh, Salilah Saidun
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引用次数: 2

Abstract

Anemia is a significant public health problem worldwide especially among pregnant women in low- and middle-income countries. In this study, a mathematical model of the population dynamics of anemia during pregnancy and postpartum is constructed. In the modeling process, four independent variables have been considered: (1) the numbers of nonpregnant nonanemic women, (2) anemic nonpregnant women, (3) anemic pregnant or postpartum women and (4) anemic pregnant or postpartum women with complications. The mathematical model is governed by a system of first-order ordinary differential equations. The stability analysis of the model is conducted using Routh-Hurwitz criteria. There is one nonnegative equilibrium point which is asymptotically stable. The equilibrium point obtained indicates the influential parameters that can be controlled to minimize the number of patients at each stage. The proposed model can be employed to forecast the future incidence and prevalence of the disease and appraise intervention programs.

妊娠及产后贫血的数学建模与分析。
贫血是世界范围内的一个重大公共卫生问题,特别是在低收入和中等收入国家的孕妇中。本研究建立了妊娠期和产后贫血人群动态的数学模型。在建模过程中,考虑了四个自变量:(1)未怀孕的非贫血妇女人数;(2)未怀孕的贫血妇女人数;(3)怀孕或产后贫血妇女人数;(4)有并发症的怀孕或产后贫血妇女人数。数学模型由一阶常微分方程系统控制。采用roth - hurwitz准则对模型进行了稳定性分析。存在一个渐近稳定的非负平衡点。得到的平衡点表示可以控制的影响参数,以使每个阶段的患者数量最小化。该模型可用于预测未来疾病的发病率和流行程度,并对干预方案进行评估。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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