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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, 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. A numerical example is also given to illustrate our results.

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