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

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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… Click to show full 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 , 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.

Keywords: wild sterile; existence stability; periodic solutions; two periodic; stability two; interactive wild

Journal Title: Journal of Biological Dynamics
Year Published: 2022

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