Controle Ótimo em Epidemias de Dengue
DOI:
https://doi.org/10.5540/tema.2016.017.02.0129Abstract
A infecção pelo vírus da dengue constitui atualmente um dos maiores problemas da saúde pública pelo mundo inteiro. Como ainda não existem vacinas contra os vírus da dengue, é importante ter modelos matemáticos que representem a dinâmica da epidemia visando o controle da propagação da doença. Neste trabalho, utilizamos um sistema SEIR contínuo que modela a dinâmica da transmissão da dengue e fizemos um estudo da estabilidade do modelo com os pontos de equilíbrio biologicamente viáveis. O objetivo deste trabalho é aplicar estratégias de controle alternativas para diminuir a propagação desta doença infecciosa. A estratégia utilizada foi o controle ótimo linear para sistemas não-lineares. Simulações numéricas mostram a eficiência do controle proposto.
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