Abdelbar EL Mansouri, I. Smouni, B. Khajji, A. Labzai, M. Belam, Y. Tidli
{"title":"肥胖症流行及其对糖尿病影响的数学模型的最优控制","authors":"Abdelbar EL Mansouri, I. Smouni, B. Khajji, A. Labzai, M. Belam, Y. Tidli","doi":"10.28919/cmbn/8041","DOIUrl":null,"url":null,"abstract":". The obesity epidemic is associated with several cardiovascular risk factors, including diabetes mellitus, dyslipidemia, and hypertension. Insulin resistance is believed to play a crucial role in the emergence of various health problems. Apart from genetic factors, obesity, particularly abdominal obesity, is a major contributor to the onset of diabetes. In this study, we present a mathematical model that captures the interplay between the prevalence of obesity and diabetes, and we investigate the adverse effects of excess weight on the well-being of diabetic individuals. Our approach employs Pontryagin’s maximum principle to determine the optimal control strategies, and we solve the resulting system through iterative methods. Finally, we perform numerical simulations using Matlab to validate our theoretical analysis.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Optimal control in a mathematical model of a spread of the obesity epidemic and its impact on diabetes\",\"authors\":\"Abdelbar EL Mansouri, I. Smouni, B. Khajji, A. Labzai, M. Belam, Y. Tidli\",\"doi\":\"10.28919/cmbn/8041\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". The obesity epidemic is associated with several cardiovascular risk factors, including diabetes mellitus, dyslipidemia, and hypertension. Insulin resistance is believed to play a crucial role in the emergence of various health problems. Apart from genetic factors, obesity, particularly abdominal obesity, is a major contributor to the onset of diabetes. In this study, we present a mathematical model that captures the interplay between the prevalence of obesity and diabetes, and we investigate the adverse effects of excess weight on the well-being of diabetic individuals. Our approach employs Pontryagin’s maximum principle to determine the optimal control strategies, and we solve the resulting system through iterative methods. Finally, we perform numerical simulations using Matlab to validate our theoretical analysis.\",\"PeriodicalId\":44079,\"journal\":{\"name\":\"Communications in Mathematical Biology and Neuroscience\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Mathematical Biology and Neuroscience\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.28919/cmbn/8041\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, INFORMATION SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematical Biology and Neuroscience","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28919/cmbn/8041","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
Optimal control in a mathematical model of a spread of the obesity epidemic and its impact on diabetes
. The obesity epidemic is associated with several cardiovascular risk factors, including diabetes mellitus, dyslipidemia, and hypertension. Insulin resistance is believed to play a crucial role in the emergence of various health problems. Apart from genetic factors, obesity, particularly abdominal obesity, is a major contributor to the onset of diabetes. In this study, we present a mathematical model that captures the interplay between the prevalence of obesity and diabetes, and we investigate the adverse effects of excess weight on the well-being of diabetic individuals. Our approach employs Pontryagin’s maximum principle to determine the optimal control strategies, and we solve the resulting system through iterative methods. Finally, we perform numerical simulations using Matlab to validate our theoretical analysis.
期刊介绍:
Communications in Mathematical Biology and Neuroscience (CMBN) is a peer-reviewed open access international journal, which is aimed to provide a publication forum for important research in all aspects of mathematical biology and neuroscience. This journal will accept high quality articles containing original research results and survey articles of exceptional merit.