Mathematical Analysis of a Two-Strain Host-Vector Dengue Model with Vertical Transmission.

Abstract

In this article we model two-strain dynamics of dengue transmission by both mosquitoes and humans with vertical transmission to larvae in the mosquito population. We include secondary infections, causing a severe form of disease. Mathematical analysis of proposed model is conducted - we study existence and local stability of equilibria of the system. While analysing the model, unusual properties emerged which lead us to implement its simplifications and obtain different results. Theoretical outcomes are accomplished with numerical simulations. They suggest that vertical transmission has a negligible impact on the dengue spread.