In this paper, we study a kind of mosquito population suppression model incorporating the growth stage as well as the sex structure of mosquitoes. For the general non-autonomous case, a threshold $m^{\ast }$ for the number of sexually active sterile mosquitoes in the field is defined, and sufficient conditions for successful suppression and partial suppression of wild mosquito population are obtained. For the first special case when the release period of the sterile mosquito is equal to its sexual lifespan, we determined the initial population size under which the mosquito population can be suppressed finally for different release intensities. For the latter special case when sterile mosquitoes are released with a constant rate, we give a threshold $u^{\ast }$ for the release rate, and investigate the dynamic behavior of the system based on this threshold. Finally, some numerical examples are presented to confirm the theoretical results.

In this paper, we proposed a model for suppressing mosquito populations, evaluating various release strategies for sterilized mosquitoes, including constant continuous release, open-loop control, closed-loop control, and composite control strategies. We established release amount thresholds for each strategy to ensure the ultimate extinction of the wild population. Through numerical simulations, we validated our theoretical results and assessed the efficacy of each strategy. The results indicated that the closed-loop control mechanism significantly enhanced population suppression effectiveness. Higher intensity control notably shortened the control duration, and strategies that incorporated shorter release periods and more frequent population assessments markedly reduced the cumulative release quantity. Furthermore, we found that, compared to closed-loop control, the composite control strategy reduced single release amounts but did not show advantages in other aspects at low control intensities. However, it significantly decreased the cumulative release quantity at high control intensities.