Um modelo epidemiológico para o estudo da dengue considerando o controle do vetor

Abstract

The link between mathematics, epidemiology and the spread of diseases is something that is directly related when it comes to epidemiological studies. Using mathematical models and computational tools, it is possible to predict scenarios and point out possible measures to be taken in times of health crisis. The first reports of dengue fever emerged in the mid-1960s, and it was already considered a global health problem, being a common disease in many countries, including Brazil, where it is found mainly in tropical and subtropical regions. In this sense, the present work aims to study and analyze an epidemiological model applied to infectious diseases, specifically aimed at dengue. A SIR+ASI mathematical model will be used, composed of ordinary differential equations that describe the dynamics of disease propagation, through the interaction of mosquitoes and humans. The spread of dengue can be mitigated through control measures that can be carried out directly on the mosquito population. These control measures are carried out through the use of insecticides and educational campaigns through social media. Another form of control could be carried out through the process of vaccinating the human population, however the vaccine for dengue is not yet available. Both control strategies aim to reduce and eradicate the disease in the population and have been implemented. The mathematical model is solved numerically and its algorithm was implemented in the SCILAB language. The main objective is to obtain the numerical solution of the proposed problem and compare the applied control strategies.