  During the last decades, the global prevalence of dengue progressed
dramatically. It is a disease which is now endemic in more than one hundred
countries of Africa, America, Asia and the Western Pacific. This study
addresses a mathematical model for the dengue disease transmission and finding
the most effective ways of controlling the disease. The model is described by a
system of ordinary differential equations representing human and vector
dynamics. Multiobjective optimization is applied to find the optimal control
strategies, considering the simultaneous minimization of infected humans and
costs due to insecticide application. The obtained results show that
multiobjective optimization is an effective tool for finding the optimal
control. The set of trade-off solutions encompasses a whole range of optimal
scenarios, providing valuable information about the dynamics of infection
transmissions. The results are discussed for different values of model
parameters.
