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.
|Journal||Journal of Physics: Conference Series|
|Publication status||Published - 18 Feb 2021|
|Event||4th Mathematics, Informatics, Science, and Education International Conference, MISEIC 2020 - Surabaya, Virtual, Indonesia|
Duration: 3 Oct 2020 → …