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For some one-dimensional discrete-time autonomous population models, localstability implies global stability of the positive equilibrismo point. One ofthe known techniques is the enveloping method. In this paper we extend theenveloping method to one single periodic population models. We show that, undercertain conditions, "individual enveloping" implies "periodic enveloping" inone-dimensional periodic population models.

Global stability in some one-dimensional non-autonomous discrete periodic population models