In this study, influenza is modeled dynamically under seasonal variables. Seasonal variables made this model geometrically more complicated than without seasonal conditions. This modeling will be done in two cases with vaccination and without vaccination. These two models are solved in similar conditions by using Rung-Kutta method. The resulted data are shown in two diagrams and they are compared. We deduce a model for influenza without seasonal variable and vaccination and we consider its equilibrium points.