Existence and stability of two periodic solutions for an interactive wild and sterile mosquitoes model.

Abstract

In this paper, we study the periodic and stable dynamics of an interactive wild and sterile mosquito population model with density-dependent survival probability. We find a release amount upper bound $G^{\ast }$, depending on the release waiting period T, such that the model has exactly two periodic solutions, with one stable and another unstable, provided that the release amount does not exceed $G^{\ast }$. A numerical example is also given to illustrate our results.