Allee effect and a catastrophe model of population dynamics

Dianmo Li; Zhen Zhang; Zufei Ma; Baoyu Xie; Rui Wang

doi:10.3934/dcdsb.2004.4.629

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2004, Volume 4, Issue 3: 629-634. Doi: 10.3934/dcdsb.2004.4.629

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Allee effect and a catastrophe model of population dynamics

1.
The National Laboratory of Integrated Management of Insect and Rodent Pests in Agriculture, Institute of Zoology, Chinese Academy of Sciences Beijing 100080

Received: November 2002

Revised: February 2004

Published: August 2005

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Abstract

Some assumptions of Logistic Equation are frequently violated. We applied the Allee effect to the Logistic Equation so as to avoid these unrealistic assumptions. Following basic principles of Catastrophe theory, this new model is identical to a Fold catastrophe type model. An ecological interpretation of the results is provided.

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Mathematics Subject Classification: 92D25, 92D40.

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