TY - JOUR
T1 - Effect of Healthy Life Campaigns on Controlling Obesity Transmission
T2 - 4th Mathematics, Informatics, Science, and Education International Conference, MISEIC 2020
AU - Delavani,
AU - Aldila, Dipo
AU - Handari, Bevina D.
N1 - Funding Information:
This research is funded by the Ministry of Research, Technology and Higher Education of the Republic of Indonesia (Kemenristek DIKTI), with PUPT research grant scheme 2020 (ID Number: NKB-2798/UN2.RST/HKP.05.00/2020).
Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2021/2/18
Y1 - 2021/2/18
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85101804428&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/1747/1/012003
DO - 10.1088/1742-6596/1747/1/012003
M3 - Conference article
AN - SCOPUS:85101804428
SN - 1742-6588
VL - 1747
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012003
Y2 - 3 October 2020
ER -