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One and three limit cycles in a cubic predator–prey system

✍ Scribed by Xuncheng Huang; Yuanming Wang; Lemin Zhu


Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
126 KB
Volume
30
Category
Article
ISSN
0170-4214

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✦ Synopsis


Abstract

A cubic differential system is proposed, which can be considered a generalization of the predator–prey models, studied recently by many authors. The properties of the equilibrium points, the existence of a uniqueness limit cycle, and the conditions for three limit cycles are investigated. The criterion is easy to apply in applications. Copyright © 2006 John Wiley & Sons, Ltd.


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