A numerical application of dengue models in the presence of Wolbachia and vaccination in Thailand.

Abstract

Dengue virus is one of the leading causes of illness and death in the tropics. Currently, the main method to prevent transmission is vector control. Besides dengue, Zika, among others, is transmitted by mosquitoes, with Aedes aegypti as the main vector, although Aedes albopictus is also a possible carrier. In this work, we analyze several situations such as the vaccination campaign in Thailand starting in 2016, the presence of Wolbachia using a classic SEIR model, and the case of the release of infected females and the Wolbachia invasive model (WIM)
using the Levenberg-Marquardt neural network backpropagation technique (NN-LM). Wolbachia, a bacterium present in
60% of insects, is generally not found in A. aegypti. For the numerical simulations, the Finite Difference method was used,
which, despite its simplicity, proved efficient, with results comparable to those in the literature.