Year: 2020
Author: Wendi Wang
CSIAM Transactions on Applied Mathematics, Vol. 1 (2020), Iss. 2 : pp. 240–255
Abstract
Overweight is a social disease, which is transmitted through social networks. A mathematical model is proposed to simulate the dynamics of social obesity, where the structures of individual heterogeneity and overeating behaviors are incorporated. The basic reproduction number of the disease is calculated and is shown to be a threshold for disease invasion. Sufficient conditions for the global stability of an endemic equilibrium is established by Lyapunov functions. Numerical simulations are provided to reveal how interventions through treatment to eating behaviors and education to susceptible individuals suppress the progression of the disease.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/csiam-am.2020-0007
CSIAM Transactions on Applied Mathematics, Vol. 1 (2020), Iss. 2 : pp. 240–255
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Overeating behavior reproduction number global stability intervention.