Abstract
We proceed now to look at the dynamics of a population with a life history in which successive generations do not overlap one another. Some types of fishes, such as the salmon, as well as many kinds of insects live in this way. The parent generation leaves its eggs before it dies in the fall. The eggs then winter over, and the young emerge in the spring. The potential for bizarre population trajectories exists; consider for example the thirteen year periodic cicada. Our goal will be to try to discover the range of behavior which is possible.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Li, T.Y. and J.A. Yorke, “Period Three Implies Chaos”, American Mathematical Monthly, Volume 82, pp. 985–992
May, R.M., “Biological Populations with Nonoverlapping Generations: Stable Points, Stable Cycles and Chaos”, Science, Volume 186, pp. 645–647, November 15, 1974.
May, R.M., “Simple Mathematical Models with Very Complicated Dynamics”, Nature, Volume 261, pp. 459–467, June 10
Straffin, P.D., Jr., “Periodic Points of Continuous Functions”, Mathematics Magazine, Volume 51, pp 99–105, March, 1978.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1979 Education Development Center, Inc.
About this chapter
Cite this chapter
Frauenthal, J.C. (1979). Stable Points, Stable Cycles and Chaos. In: Introduction to Population Modeling. The Umap Expository Monograph Series. Birkhäuser Boston. https://doi.org/10.1007/978-1-4684-7322-3_6
Download citation
DOI: https://doi.org/10.1007/978-1-4684-7322-3_6
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3015-7
Online ISBN: 978-1-4684-7322-3
eBook Packages: Springer Book Archive