Did Something Change? Thresholds in Population Models

Frank Hoppensteadt () and Paul Waltman ()
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Frank Hoppensteadt: ASU, 606 GWC — SSERC
Paul Waltman: Emory University Suite 148, Department of Mathematics and Computer Science

Chapter 10 in Trends in Nonlinear Analysis, 2003, pp 341-374 from Springer

Abstract: Abstract The goal of this article is to illustrate several interesting bifurcations that can arise in population biology. These are of interest since it is often through bifurcation phenomena that changes significant enough to be measured occur. For example, a minor change in some environmental parameter can cause a system to change from being at rest to oscillating. We illustrate here the role of several canonical types of bifurcations in population modeling.

Keywords: Periodic Orbit; Hopf Bifurcation; Sample Path; Infected Snail; Stable Oscillation (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-05281-5_10

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DOI: 10.1007/978-3-662-05281-5_10

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