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The 3-D bifurcation and limit cycles in a food-chain model

✍ Scribed by Lemin Zhu; Xuncheng Huang

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
130 KB
Volume
32
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper, by using a corollary to the center manifold theorem, we show that the 3‐D food‐chain model studied by many authors undergoes a 3‐D Hopf bifurcation, and then we obtain the existence of limit cycles for the 3‐D differential system. The methods used here can be extended to many other 3‐D differential equation models. Copyright Β© 2008 John Wiley & Sons, Ltd.

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