id author title date pages extension mime words sentences flesch summary cache txt cord-225429-pz9lsaw6 Rodrigues, Helena Sofia Optimal Control and Numerical Optimization Applied to Epidemiological Models 2014-01-29 .txt text/plain 32061 2066 56 This PhD thesis is motivated by the study of epidemiological models applied to infectious diseases in an Optimal Control perspective, giving particular relevance to Dengue. Moreover, it is our aim to frame the disease management question into an optimal control problem requiring the maximization/minimization of some objective function that depends on the infected individuals (biological issues) and control costs (economic issues), given some initial conditions. The aim of this section is to present a mathematical model to study the dynamic of the Dengue epidemics, in order to minimize the investments in disease's control, since financial resources are always scarce. This Assuming that the parameters are fixed, the only variable that can influence this threshold is the control variable c, it has shown that with a steady insecticide campaign it is possible to reduce the number of infected humans and mosquitoes, and can prevent an outbreak that could transform an epidemiological episode to an endemic disease. ./cache/cord-225429-pz9lsaw6.txt ./txt/cord-225429-pz9lsaw6.txt