Mathematical model of the aquatic phase in the population growth dynamics of Aedes Aegypti contaminated with Wolbachia

Abstract

Dengue is an infectious disease of global public health significance and is a leading cause of death. A study focusing on the aquatic phase (egg, larva and pupa) of the Aedes aegypti mosquito, with and without Wolbachia, is being conducted. A mathematical model is formulated, the results suggest that the intrinsic ovoposition rate is the parameter that most affects the non-trivial equilibrium solution. As a conclusion, it is suggested that, under certain conditions, the reproduction of Wolbachia-contaminated mosquitoes in the aquatic phase is small compared to the reproduction of wild mosquitoes, which could affect the success of the control strategy.