Global dynamics for a class of nonautonomous mosquito models with time delay and switching control strategy

Mosquitoes serve as the primary vectors for several life-threatening pathogens, including malaria, dengue fever, and Zika virus. To effectively control the transmission of these diseases, a variety of integrated vector management strategies are currently employed to reduce mosquito population densities. This paper focuses on the sterile insect technique (SIT) and incompatible insect technique (IIT), which involves the release of sterile male mosquitoes to suppress wild mosquito populations, and delves into the impact of different release strategies on mosquito population dynamics. We established a switched mosquito population suppression model with time delay. We first investigate the existence and stability of the switching ordinary differential equation model, and derive some criteria for determining whether T-periodic solutions are stable or unstable. By taking the initial function as a solution to the delay-free model, we obtain sufficient conditions for existence of a unique or exactly two periodic solutions. Furthermore, we gain necessary and sufficient conditions for nonexis-tence of periodic solutions. Finally, the numerical results have been shown to further highlighted the effectiveness of our proposed model.