TY - JOUR
T1 - Mathematical Analysis of an Obesity Model with Eating Behaviors
AU - Wang , Wendi
JO - CSIAM Transactions on Applied Mathematics
VL - 2
SP - 240
EP - 255
PY - 2020
DA - 2020/07
SN - 1
DO - http://doi.org/10.4208/csiam-am.2020-0007
UR - https://global-sci.org/intro/article_detail/csiam-am/17177.html
KW - Overeating behavior, reproduction number, global stability, intervention.
AB - <p style="text-align: justify;">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.</p>