10-103 Marian Gidea, James D. Meiss, Ilie Ugarcovici, and Howard Weiss
Applications of KAM Theory to Population Dynamics (1380K, pdf) Jul 2, 10
Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

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.

Files: 10-103.src( 10-103.keywords , PopKAM2010-revised-ams.pdf.mm )