Sex-structured wild and sterile mosquito population models with different release strategies

Abstract

In this paper, we propose sex-structured mathematical models in terms of continuous-time differential equations. We investigate the interactive dynamics of the sex-structured wild and sterile mosquitoes from several aspects including the existence of equilibria and their stability. We consider different strategies of releasing the sterile mosquitoes to control mosquitoes in an effective way. In addition, numerical simulations are provided to illustrate the dynamical features of the models.

Keywords

• sex structure
• mosquito-borne diseases
• sterile mosquitoes
• release strategies
• allee effects
• stability