Stability in discrete population models

Technical Report

Public Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/technical_reports/k643b2548

Descriptions

Attribute Name	Values
Creator	Oregon State University. Dept. of Computer Science Cull, Paul, 1943- Chaffee, J.
Abstract	One dimensional nonlinear difference equations have been used to model population growth. The standard biological models have the interesting characteristic that they display global stability if they display local stability. Various researchers have sought a simple explanation for this agreement of local and global stability. Here, we show that enveloping by a linear fractional function is sufficient for global stability. We also show that for seven standard biological models local stability implies enveloping and hence global stability. We derive two methods to demonstrate enveloping and show that these methods can easily be applied to the seven example models. Keywords: linear fractional functions, local stability, growth models, chaos, difference equations, stability, global stability, maps of the interval, recurrences, population models
Resource Type	Research Paper
Date Available	2012-02-21T21:48:17+00:00
Date Issued	1999
Series	Technical report (Oregon State University. Department of Computer Science)
Subject	Population -- Mathematical models
Rights Statement	Copyright Not Evaluated
Publisher	Corvallis, OR : Oregon State University, Dept. of Computer Science
Peer Reviewed	No
Language	English [eng]
Replaces	http://hdl.handle.net/1957/27907

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