A study of a three species food chain

被引：41
|
作者：
Varriale, MC
Gomes, AA
机构：
[1] CBPF, BR-22290180 Rio De Janeiro, Brazil
[2] Univ Fed Rio Grande Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, Brazil
来源：
ECOLOGICAL MODELLING | 1998年 / 110卷 / 02期
关键词：
attractor; chaos; embedding; fish; food chain; limit cycles; Michaelis-Menten-Monod; nonlinear; system; Poincare sections; polyculture in reservoirs; predation;
D O I：
10.1016/S0304-3800(98)00062-3
中图分类号：
Q14 [生态学（生物生态学）];
学科分类号：
071012 ; 0713 ;
摘要：
We study the dynamics of a food web consisting of three species of fish, extending previously obtained results. We have used two different approaches: looking for the asymptotic states of the system, resulting from numerical integration of the equations; and the application of the embedding procedure, to extract the relevant dynamical exponents, from a time series for only one scalar variable. The two approaches are complementary, the first helps emphasize geometrical aspects. In the second, orbit stability is exhibited and, via the possibility of the method of Ott et al. (Phys. Rev. Lett. 64 (1990) 1196) for chaos control, this opens issues to be studied in the future. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：119 / 133
页数：15
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