Multiple attractors in host-parasitoid interactions: Coexistence and extinction

被引：16
|
作者：
Kon, Ryusuke [1 ]
机构：
[1] Kyushu Univ, Fac Math, Higashi Ku, Fukuoka 8128581, Japan
来源：
MATHEMATICAL BIOSCIENCES | 2006年 / 201卷 / 1-2期
关键词：
permanence; invasibility; Liapunov exponent; host density dependence; Ricker map; Nicholson-Bailey model;
D O I：
10.1016/j.mbs.2005.12.010
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper considers the dynamics of a two-dimensional discrete-time model for host-parasitold interactions, and shows that the model has two attractors: the fixed point where two species coexist and a boundary cycle where the parasitoid is absent. The analysis with the Liapunov exponent confirms that this kind of bistability is common in this model. The generality of this phenomenon in host-parasitoid interactions is also discussed. (c) 2005 Elsevier Inc. All rights reserved.
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页码：172 / 183
页数：12
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