Long Time Bihavior of Some Epidemic Models

Abstract

This thesis investigates an endemic model of obesity and related health issues, considering social factors and social connections. The essential goal of our proposed model is to understand and subsequently control as far as possible the evolution of each disease. Obesity and its related health issues can be transmitted through peer pressure to eat fast food and unhealthy habits learned from family and friends. In our model, the impact of these social factors is represented by the parameters βi. We provide a theoretical demonstration of the asymptotic stability of both the disease-free and endemic equilibria, as well as the solution’s existence and uniqueness, for the model of obesity and its related issues. In order to corroborate the model’s theoretical fidings through numerical simulations, to study the effects (impact)of changes in social factors on disease spread dynamics