Stability analysis in a mosquito population suppression model

Abstract

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 threshold (Formula presented.) for the number of sterile mosquitoes and provide a sufficient condition for the origin (Formula presented.) to be globally asymptotically stable based on the threshold (Formula presented.). For the case when the number of sterile mosquitoes keeps at a constant level, we find that the origin (Formula presented.) is globally asymptotically stable if and only if the constant number (Formula presented.) of sterile mosquitoes released in the field is above (Formula presented.).