Open AccessThe Impact of Media Coverage on Obesity
Author(s) -
Séverine Bernard,
Ténissia César,
Alain Piétrus
Publication year - 2022
Publication title -
contemporary mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.106
H-Index - 12
eISSN - 2705-1064
pISSN - 2705-1056
DOI - 10.37256/cm.3120221199
Subject(s) - mathematics , stability theory , constant (computer programming) , stability (learning theory) , mathematical economics , phenomenon , equilibrium point , point (geometry) , population , reproduction , basic reproduction number , mathematical analysis , computer science , demography , epistemology , geometry , sociology , ecology , nonlinear system , physics , biology , quantum mechanics , machine learning , programming language , differential equation , philosophy
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.