Periodic solutions of population models in a periodically fluctuating environment.
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.
Li
J
J
Department of Mathematical Sciences, University of Alabama, Huntsville 35899.
D004777:Environment; D008433:Mathematics; D008954:Models, Biological; D011157:Population Dynamics