MATHEMATICAL MODEL FOR THE STUDY OF OBESITY IN A POPULATION AND ITS IMPACT ON THE GROWTH OF DIABETES-Reference-Cited by-同舟云学术

MATHEMATICAL MODEL FOR THE STUDY OF OBESITY IN A POPULATION AND ITS IMPACT ON THE GROWTH OF DIABETES

Published:2023-10-20 Issue:4 Volume:28 Page:611-635
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
Short-container-title:

Author:

Moya Erick Delgado¹^ORCID,Pietrus Alain²,Bernard Séverine²^ORCID

Affiliation:

1. Institute of Collective Health, Federal University of Bahia, Salvador, Brasil

2. LAMIA Laboratory, EA 4540, Department of Mathematics and Computer Sciences, University of Antilles, Pointe-à-Pitre, Guadeloupe, France

Abstract

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.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

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