The Effect of Different Control Strategies on the Dynamics of a Dengue Model

We propose a mathematical model to study the dynamics of dengue fever in a susceptible population. Our main goal is to assess the effect of four different control strategies, namely, the existence of sterile male mosquitoes, the use of pesticides for larvae, the use of pesticide for adult mosquitoes, and vaccination, in the disease propagation. We discuss the results of numerical simulations for the four different control strategies from an epidemiological point of view. We also design a vaccination protocol via an optimal control scheme in order to reduce the number of infected individuals. The results suggest that our model is well-posed, and inferences are made to help define health policy measures.