Open AccessEffect of Healthy Life Campaigns on Controlling Obesity Transmission: A Mathematical Study
Author(s) -
Delavani,
Dipo Aldila,
Bevina D. Handari
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1747/1/012003
Subject(s) - ordinary differential equation , obesity , stability theory , mathematics , nonlinear system , bifurcation , population , stability (learning theory) , basic reproduction number , mathematical economics , transcritical bifurcation , bifurcation theory , differential equation , computer science , mathematical analysis , demography , medicine , sociology , physics , quantum mechanics , machine learning
In this study, we present a mathematical model that describes how obesity spread among the human population, considering human awareness levels to describe the difference in lifestyle of humans, in which the transition between this group depends on the media campaign from the authority about the importance of healthy lifestyles and persuasive capability of individuals who quit obesity. The model constructs as four-dimensional nonlinear ordinary differential equations. Possible equilibrium points are investigated regarding their existence and local stability criteria. Basic reproduction number ( R 0 ) of the model obtained from the next-generation matrix approach. It has been shown that the obesity-free equilibrium is locally asymptotically stable if R 0 is less than one and unstable otherwise. A transcritical bifurcation when R 0 = 1 was investigated using the Castillo-Song bifurcation theorem. From the elasticity analysis, we find that the social contact rate is the most influential parameter in determining the magnitude of R 0 , followed by a healthy life campaign from the government. A short discussion to understand the possible scenario in the field obtained numerically based on our analytical results conducted at last.