title: Period-doubling bifurcations leading to chaos in discrete models of biology.
abstract: Elementary methods are used to analyse periodic bifurcations associated with discrete models of the reaction-diffusion type motivated by population genetics. In particular, the existence and stability of temporal bifurcations of periods 1, 2, and 3 are discussed. The study of the route to chaos due to diffusive effects is initiated.
authors.affiliation: Department of Mathematical Sciences, University of Dundee, UK.
authors.forename: B D
authors.initials: BD
authors.lastname: Sleeman
mesh_terms: D001699:Biometry; D005828:Genetics, Population; D008954:Models, Biological; D008957:Models, Genetic