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Did Something Change? Thresholds in Population Models

In: Trends in Nonlinear Analysis

Author

Listed:
  • Frank Hoppensteadt

    (ASU, 606 GWC — SSERC)

  • Paul Waltman

    (Emory University Suite 148, Department of Mathematics and Computer Science)

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.

Suggested Citation

  • Frank Hoppensteadt & Paul Waltman, 2003. "Did Something Change? Thresholds in Population Models," Springer Books, in: Markus Kirkilionis & Susanne Krömker & Rolf Rannacher & Friedrich Tomi (ed.), Trends in Nonlinear Analysis, chapter 10, pages 341-374, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-05281-5_10
    DOI: 10.1007/978-3-662-05281-5_10
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