Simple paratransgenic mosquitoes models and their dynamics

Abstract

To study the interactive dynamics of wild mosquitoes and mosquitoes carrying genetically-modified bacteria, we formulate continuous-time homogeneous and stage-structured models in this study. With appropriate transformations, complete results of the existence and stability of all boundary and positive equilibria for the homogeneous model are established and complete results of the existence and local stability of all boundary and positive equilibria for the stage-structured model are obtained as well. The outcomes from the homogeneous and the stage-structured models are similar. Based on the homogeneous model, we particularly investigate how the horizontal transmission of the transgenic bacteria, via the uptake rate of the transgenic bacteria, affects the interactive dynamics.

Keywords: Genetically modified bacteria; Mosquito population models; Paratransgenic mosquitoes; Stability; Uptake rate; Vertical and horizontal transmissions.