{"title":"Population models of diabetes mellitus by ordinary differential equations: a review","authors":"H. Nasir, A. A. Mat Daud","doi":"10.1080/08898480.2021.1959817","DOIUrl":null,"url":null,"abstract":"ABSTRACT Population models of diabetes using ordinary differential equations are reviewed. They are refined by incorporating non-diabetics, prediabetics, low awareness prediabetics, awareness prediabetics, and awareness programs. However, they may involve products and fractions that do not reflect what is known about reality or ignore the presence of time lags in the development of diabetes. No model takes into account the limited medical treatments considered. This review shows the need to consider finer specifications of interactions, time delays, and budget constraints in epidemiological modeling of diabetes.","PeriodicalId":49859,"journal":{"name":"Mathematical Population Studies","volume":"29 1","pages":"95 - 127"},"PeriodicalIF":1.4000,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Population Studies","FirstCategoryId":"90","ListUrlMain":"https://doi.org/10.1080/08898480.2021.1959817","RegionNum":3,"RegionCategory":"社会学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"DEMOGRAPHY","Score":null,"Total":0}
引用次数: 5
Abstract
ABSTRACT Population models of diabetes using ordinary differential equations are reviewed. They are refined by incorporating non-diabetics, prediabetics, low awareness prediabetics, awareness prediabetics, and awareness programs. However, they may involve products and fractions that do not reflect what is known about reality or ignore the presence of time lags in the development of diabetes. No model takes into account the limited medical treatments considered. This review shows the need to consider finer specifications of interactions, time delays, and budget constraints in epidemiological modeling of diabetes.
期刊介绍:
Mathematical Population Studies publishes carefully selected research papers in the mathematical and statistical study of populations. The journal is strongly interdisciplinary and invites contributions by mathematicians, demographers, (bio)statisticians, sociologists, economists, biologists, epidemiologists, actuaries, geographers, and others who are interested in the mathematical formulation of population-related questions.
The scope covers both theoretical and empirical work. Manuscripts should be sent to Manuscript central for review. The editor-in-chief has final say on the suitability for publication.