Qualitative analysis of system dynamics ecological models
作者:
Miguel Toro,
Javier Aracil,
期刊:
System Dynamics Review
(WILEY Available online 1988)
卷期:
Volume 4,
issue 1‐2
页码: 56-80
ISSN:0883-7066
年代: 1988
DOI:10.1002/sdr.4260040105
出版商: John Wiley&Sons, Ltd.
数据来源: WILEY
摘要:
AbstractThis article deals with the application of qualitative analysis techniques to system dynamics ecological models. Examples include the predator‐prey and the Kaibab plateau models. In the former, we study the appearance of periodic motions. Bifurcation analysis allows us to determine the essential parameter that controls the appearance of the limit cycle through a Hopf bifurcation. We also study the limit case in which the model tends to be of the Lotka‐Volterra type.The Kaibab plateau model shows a collapse related to the limited availability of resources in a finite habitat. When we combine the structure of the predator‐prey and Kaibab models, we obtain a model representing the chain predator‐prey‐food. Such a model can show a huge variety of behavior modes, including chaos, which w
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