Modelagem da interação entre mosquitos selvagens e transgênicos

Abstract

Due to recent advances in genetic manipulation, transgenic mosquitoes may be a viable alternative to reduce some diseases. Feasibility conditions are obtained by simulating and analyzing mathematical models that describe the behavior of wild and transgenic populations living at the same geographic area. In this work, we present a reaction–diffusion model where the reaction term is a nonlinear function that describes the interaction between wild and transgenic mosquitoes taking into account the zygosity. The system of partial differential equations obtained is solved numerically by combining Runge-Kutta’s method and finite element method through the sequential operator splitting technique.