Mathematical modelling of vector-borne diseases and insecticide resistance evolution.

ABSTRACT:

Background

Vector-borne diseases are important public health issues and, consequently, in silico models that simulate them can be useful. The susceptible-infected-recovered (SIR) model simulates the population dynamics of an epidemic and can be easily adapted to vector-borne diseases, whereas the Hardy-Weinberg model simulates allele frequencies and can be used to study insecticide resistance evolution. The aim of the present study is to develop a coupled system that unifies both models, therefore enabling the analysis of the effects of vector population genetics on the population dynamics of an epidemic.

Methods

Our model consists of an ordinary differential equation system. We considered the populations of susceptible, infected and recovered humans, as well as susceptible

SUBMITTER: Gabriel Kuniyoshi ML 

PROVIDER: S-EPMC5501426 | biostudies-literature | 2017

REPOSITORIES: biostudies-literature