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Periodic solutions of population models in a periodically fluctuating environment
J Li1
1Department of Mathematical Sciences, University of Alabama, Huntsville 35899.
Mathematical Biosciences
|June 1, 1992
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.