10-103 Marian Gidea, James D. Meiss, Ilie Ugarcovici, and Howard Weiss

Applications of KAM Theory to Population Dynamics (1380K, pdf) Jul 2, 10

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Abstract. Computer simulations have shown that several classes of population models, including the May host-parasitoid model and the Ginzburg-Taneyhill ``maternal-quality'' single species population model, exhibit extremely complicated orbit structures. These structures include islands-around-islands, ad infinitum, with the smaller islands containing stable periodic points of higher period. We identify the mechanism that generates this complexity and we discuss some biological implications.

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