No abstract

Dengue fever, chikungunya and zika are caused by different viruses and mainly transmitted by Aedes aegypti mosquitoes. These diseases have received special attention of public health officials due to the large number of infected people in tropical and subtropical countries and the possible sequels that those diseases can cause. In severe cases, the infection can have devastating effects, affecting the central nervous system, muscles, brain and respiratory system, often resulting in death. Vaccines against these diseases are still under development and, therefore, current studies are focused on the treatment of diseases and vector (mosquito) control. This work focuses on this last topic, and presents the analysis of a mathematical model describing the population dynamics of Aedes aegypti, as well as present the design of a control law for the mosquito population (vector control) via exact linearization techniques and optimal control. This control strategy optimizes the use of resources for vector control, and focuses on the aquatic stage of the mosquito life. Theoretical and computational results are also presented.

Este trabalho trata da determinação dos extremos que podem ocorrer na resposta a uma entrada degrau unitário de sistemas lineares contínuos no tempo, com pólos e zeros reais. Apresentam-se condições necessárias e suficientes para avaliar extremos, sobre-sinal e resposta inversa na resposta a uma entrada degrau unitário de sistemas de ordem n > 2 com um zero real e pólos reais distintos. Todos os resultados são apresentados em termos das localizações de pólos e zeros da correspondente função de transferência.
This paper deals with the problem of extrema, which may occur, in the step-response of a linear system with real zeros and poles. Necessary and sufficient conditions for extrema, overshoot and undershoot in the step-response of n > 2 order continuous time transfer functions with distinct poles and one real zero are given. The results are expressed in terms of the locations of poles and zeros of the corresponding transfer-function

No abstract

Dengue Fever, Zika and Chikungunya are febrile infectious diseases transmitted by the Aedes species of mosquito with a high rate of mortality. The most common vector is Aedes aegypti. According to World Health Organization outbreaks of mosquito-borne illnesses are common in the tropical and subtropical climates, as there are currently no vaccines to protect against Dengue Fever, Chikungunya or Zika diseases. Hence, mosquito control is the only known method to protect human populations. Consequently, the affected countries need urgently search for better tools and sustained control interventions in order to stop the growing spread of the vector. This study presents an optimization model, involving chemical, biological and physical control decisions that can be applied to fight against the Aedes mosquito. To determine solutions for the optimization problem a genetic heuristic is proposed. Through the computational experiments, the algorithm shows considerable efficiency in achieving solutions that can support decision makers in controlling the mosquito population.