Periodic solutions of population models in a periodically fluctuating environment. |
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| Authors: | J Li |
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| Affiliation: | Department of Mathematical Sciences, University of Alabama, Huntsville 35899. |
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| Abstract: | 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. |
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