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Periodic solutions of population models in a periodically fluctuating environment. (English) Zbl 0746.92022
Summary: A periodically fluctuating environment is assumed in a population- modeling process that generates nonautonomous difference equations. The existence and uniqueness of periodic solutions are studied. A sufficient condition for existence and a necessary condition for uniqueness are obtained. Stability of the periodic solutions is investigated. Several numerical examples are given to illustrate the basic results, and a brief discussion is presented.

MSC:
92D40 Ecology
39A10 Additive difference equations
39A11 Stability of difference equations (MSC2000)
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