Inversion of the SIR-SI System for Estimation of Human-Vector Contact Rate and Prediction of Dengue Cases

Abstract

A method for simulating future scenario of dengue cases is proposed in this article. Its main feature is the use of disease notification history to retrieve information about the SIR-SI type, such as: human-vector contact rate history, value related to the mosquito population; and the present state of the system, which allows the evolution of the system to a next stages. This feature is important because it enables the responsible health
agency to assess dengue outbreak risk based on its history. For this purpose, a SIR-SI dynamic model was adapted, with human-vector contact rate as input and fraction of new infected individuals as output. Furthermore, a procedure was suggested to estimate the input and the state of the system in such a way that they explain the history of disease notifications, using as criterion the average quadratic error between simulated and real data.