Stability analysis in a mosquito population suppression model

In this work, we study a non-autonomous differential equation model for the interaction of wild and sterile mosquitoes. Suppose that the number of sterile mosquitoes released in the field is a given nonnegative continuous function. We determine a thresholdsg*for the number of sterile mosquitoes and provide a sufficient condition for the origins0to be globally asymptotically stable based on the thresholdsg*. For the case when the number of sterile mosquitoes keeps at a constant level, we find that the origins0is globally asymptotically stable if and only if the constant numbersgof sterile mosquitoes released in the field is abovesg*.