DENGUE MODEL (SIR + ASI)

Abstract

Modeling is a fundamental step in the investigation process of Dengue, as it allows for a better understanding and analysis of the situation caused by the proliferation of the Aedes Aegypti mosquito and the resulting cases of infection. It enables the identification of the problem, even if theoretically, the simulation of different circumstances, and more informed decision-making. We will conduct a study on dengue through Nonlinear Ordinary Differential Equations involving the spread between mosquitoes and humans. Given the challenges of vector control and a serious and concerning scenario regarding arboviruses, driven by the expansion of these viruses worldwide, it becomes essential to adopt specific strategies. On the premise that with greater investments and appropriate methods, there can be greater sustainability of the actions established by surveillance networks. For this reason, our goal will be to propose an initial, yet relevant, study, as it suggests the implementation of a more simplified model of dengue, allowing for later advancement to more complex models. The models presented are solved numerically, and their algorithms were written in Octave.