Period-doubling Bifurcations Leading to Chaos in Discrete Models of Biology
- 1 March 1988
- journal article
- research article
- Published by Oxford University Press (OUP) in Mathematical Medicine and Biology: A Journal of the IMA
- Vol. 5 (1) , 21-31
- https://doi.org/10.1093/imammb/5.1.21
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.This publication has 1 reference indexed in Scilit:
- Bifurcations of one- and two-dimensional mapsPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1984