Analyse mathématique, modélisation et simulation numérique de l’épidémie de l’obésité

Abstract

In this paper, we propose a mathematical model based on employing social networks in supporting the general health of obese people through positive behaviors related to nutrition and physical activity within these networks. The proposed model is represented mathematically by a non-linear time system of ordinary differential equations. We analyze the stability of the equilibria with the negative and positive effects of social networks. Then, we perform sensitivity analyses on our model to determine the relative importance of model parameters to reduce complications due to obesity. Finally, numerical simulation results are obtained and displayed in graphical profiles. The results of our model and the health ramifications are then raised, discussed, and confirmed by other researchers’ results. This study is a theoretical study and is thought to be useful for other work to do.