Abstract
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.
Highlights
Dengue is a vector-borne disease transmitted from an infected human to a female Aedes mosquito by a bite
Due to difficulties in treating the dengue disease, controlling and preventing its outbreaks is essential for keeping people healthy, especially in regions where the threat of dengue is high
This study discussed a mathematical model for the dengue disease transmission from the optimal control point of view
Summary
Dengue is a vector-borne disease transmitted from an infected human to a female Aedes mosquito by a bite. The mosquito, which needs regular meals of blood to feed their eggs, bites a potentially healthy human and transmits the disease, turning it into a cycle. There are four distinct, but closely related, viruses that cause dengue. The four serotypes, named DEN-1 to DEN-4, belong to the Flavivirus family, but they are antigenically distinct. Recovery from infection by one serotype provides lifelong immunity against that serotype but provides only partial and transient protection against subsequent infection by the other three viruses. There are strong evidences that a sequential infection increases the risk of developing dengue hemorrhagic fever
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