Mathematical model for the study of obesity in a population and its impact on the growth of diabetes
In this paper, we present a deterministic mathematical model for the study of overweight, and obesity in a population and its impact on the growth of the number of diabetics. For the construction of the model, we take into account social factors and the interactions between the elements of society....
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2023-10-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://jau.vgtu.lt/index.php/MMA/article/view/17510 |
| _version_ | 1797654245062737920 |
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| author | Erick Delgado Moya Alain Pietrus Séverine Bernard |
| author_facet | Erick Delgado Moya Alain Pietrus Séverine Bernard |
| author_sort | Erick Delgado Moya |
| collection | DOAJ |
| description |
In this paper, we present a deterministic mathematical model for the study of overweight, and obesity in a population and its impact on the growth of the number of diabetics. For the construction of the model, we take into account social factors and the interactions between the elements of society. We find the basic reproduction number and prove the global stability of the disease-free equilibrium point. We present theoretical results and find the sensitivity indices to characterize the impact of parameters associated with overweight, obesity and diagnosed diabetes on the basic reproduction number. To validate the model, we perform computational simulations and study the basic reproduction number and compartments. We present the behavior of the compartments for a scenario and study the impact of the variation of parameters associated with overweight by social pressure and diabetes due to causes other than obesity.
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| first_indexed | 2024-03-11T16:56:38Z |
| format | Article |
| id | doaj.art-b98165fd8eb34fb6ac2eb092f2702440 |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-03-11T16:56:38Z |
| publishDate | 2023-10-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-b98165fd8eb34fb6ac2eb092f27024402023-10-20T15:21:33ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102023-10-0128410.3846/mma.2023.17510Mathematical model for the study of obesity in a population and its impact on the growth of diabetesErick Delgado Moya0Alain Pietrus1Séverine Bernard2Institute of Collective Health, Federal University of Bahia, Salvador, BrasilLAMIA Laboratory, EA 4540, Department of Mathematics and Computer Sciences, University of Antilles, Pointe-à-Pitre, Guadeloupe, FranceLAMIA Laboratory, EA 4540, Department of Mathematics and Computer Sciences, University of Antilles, Pointe-à-Pitre, Guadeloupe, France In this paper, we present a deterministic mathematical model for the study of overweight, and obesity in a population and its impact on the growth of the number of diabetics. For the construction of the model, we take into account social factors and the interactions between the elements of society. We find the basic reproduction number and prove the global stability of the disease-free equilibrium point. We present theoretical results and find the sensitivity indices to characterize the impact of parameters associated with overweight, obesity and diagnosed diabetes on the basic reproduction number. To validate the model, we perform computational simulations and study the basic reproduction number and compartments. We present the behavior of the compartments for a scenario and study the impact of the variation of parameters associated with overweight by social pressure and diabetes due to causes other than obesity. https://jau.vgtu.lt/index.php/MMA/article/view/17510diabetesobesityoverweightmathematical modelordinary differential equation |
| spellingShingle | Erick Delgado Moya Alain Pietrus Séverine Bernard Mathematical model for the study of obesity in a population and its impact on the growth of diabetes Mathematical Modelling and Analysis diabetes obesity overweight mathematical model ordinary differential equation |
| title | Mathematical model for the study of obesity in a population and its impact on the growth of diabetes |
| title_full | Mathematical model for the study of obesity in a population and its impact on the growth of diabetes |
| title_fullStr | Mathematical model for the study of obesity in a population and its impact on the growth of diabetes |
| title_full_unstemmed | Mathematical model for the study of obesity in a population and its impact on the growth of diabetes |
| title_short | Mathematical model for the study of obesity in a population and its impact on the growth of diabetes |
| title_sort | mathematical model for the study of obesity in a population and its impact on the growth of diabetes |
| topic | diabetes obesity overweight mathematical model ordinary differential equation |
| url | https://jau.vgtu.lt/index.php/MMA/article/view/17510 |
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