title: Applications of KAM theory to population dynamics.
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.
authors.affiliation: Department of Mathematics, Northeastern Illinois University, Chicago, IL 60625, USA.
authors.forename: Marian
authors.initials: M
authors.lastname: Gidea
authors.forename: James D
authors.initials: JD
authors.lastname: Meiss
authors.forename: Ilie
authors.initials: I
authors.lastname: Ugarcovici
authors.forename: Howard
authors.initials: H
authors.lastname: Weiss
mesh_terms: D006801:Humans; D008954:Models, Biological; D010507:Periodicity; D011157:Population Dynamics