BIFURCATIONS AND CHAOS IN A PERIODIC PREDATOR-PREY MODEL

被引：71
|
作者：
Kuznetsov, Yu A. [1 ]
Muratori, S. [2 ]
Rinaldi, S. [3 ]
机构：
[1] Russian Acad Sci, Ctr Res Comp, Pushchino 142292, Moscow Region, Russia
[2] Politecn Milan, CNR, Ctr Teoria Sistemi, I-20133 Milan, Italy
[3] Politecn Milan, Dipartimento Elettron & Informaz, I-20133 Milan, Italy
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1992年 / 2卷 / 01期
关键词：
D O I：
10.1142/S0218127492000112
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The model most often used by ecologists to describe interactions between predator and prey populations is analyzed in this paper with reference to the case of periodically varying parameters. A complete bifurcation diagram for periodic solutions of period one and two is obtained by means of a continuation technique. The results perfectly agree with the local theory of periodically forced Hopf bifurcation. The two classical routes to chaos, i.e., cascade of period doublings and torus destruction, are numerically detected.
引用
收藏
页码：117 / 128
页数：12
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