The Impact of Media Coverage on Obesity

Authors

  • Séverine Bernard LAMIA Laboratory, EA 4540, Department of Mathematics and Computer Sciences, University of Antilles, Pointe-à-Pitre, Guadeloupe, France
  • Ténissia Cesar LAMIA Laboratory, EA 4540, Department of Mathematics and Computer Sciences, University of Antilles, Pointe-à-Pitre, Guadeloupe, France
  • Alain Pietrus LAMIA Laboratory, EA 4540, Department of Mathematics and Computer Sciences, University of Antilles, Pointe-à-Pitre, Guadeloupe, France

DOI:

https://doi.org/10.37256/cm.3120221199

Keywords:

overweight and obesity, equilibrium, stability

Abstract

In this paper, we develop a deterministic compartmental model for the obesity dynamics. Contrary to other contributions on this subject we explore the impact of the media on the spreading of this phenomenon in a constant population. Stability analysis shows that the disease-free equilibrium point is globally asymptotically stable when the number of reproduction is less than unity. We also show that the endemic equilibrium point when it exists is globally asymptotically stable under some conditions.

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Published

2022-02-22

How to Cite

1.
Bernard S, Cesar T, Pietrus A. The Impact of Media Coverage on Obesity. Contemp. Math. [Internet]. 2022 Feb. 22 [cited 2024 May 27];3(1):60-71. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/1199