CONDITIONED CHAOS IN SEASONALLY PERTURBED PREDATOR-PREY MODELS

被引:47
作者
RINALDI, S [1 ]
MURATORI, S [1 ]
机构
[1] POLITECN TORINO, I-10129 TURIN, ITALY
关键词
D O I
10.1016/0304-3800(93)90050-3
中图分类号
Q14 [生态学(生物生态学)];
学科分类号
071012 ; 0713 ;
摘要
The problem of chaos in second-order predator-prey models with sinusoidally perturbed parameters is investigated in this paper. The analysis is carried out numerically, by means of a continuation method producing bifurcation curves in two-dimensional spaces. The results show that the phase separating two sinusoidal perturbations in time is a strategic variable for controlling the dynamics of the populations. In a large region of the parameter space, phase determines whether the behaviour of the system is chaotic or non-chaotic.
引用
收藏
页码:79 / 97
页数:19
相关论文
共 39 条
[1]  
ALLEN JC, 1989, LECTURE NOTES STATIS, V55, P190
[2]  
ARNOLD V, 1982, GEOMETRICAL METHODS
[3]   THE DYNAMICS OF AGE-STRUCTURED HOST - PARASITOID INTERACTIONS [J].
BELLOWS, TS ;
HASSELL, MP .
JOURNAL OF ANIMAL ECOLOGY, 1988, 57 (01) :259-268
[4]  
BRILLINGER DR, 1980, SOME MATH QUESTIONS, V13, P65
[5]   UNIQUENESS OF A LIMIT-CYCLE FOR A PREDATOR-PREY SYSTEM [J].
CHENG, KS .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1981, 12 (04) :541-548
[6]  
DOVERI F, 1993, IN PRESS THEOR POPUL
[7]  
FERRIERE R, 1991, 1ST P EUR C MATH BIO
[8]   THE EVOLUTIONARY OPTIMALITY OF OSCILLATORY AND CHAOTIC DYNAMICS IN SIMPLE POPULATION-MODELS [J].
GATTO, M .
THEORETICAL POPULATION BIOLOGY, 1993, 43 (03) :310-336
[9]   COMPLEX DYNAMICS IN MULTISPECIES COMMUNITIES [J].
GODFRAY, HCJ ;
BLYTHE, SP .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES B-BIOLOGICAL SCIENCES, 1990, 330 (1257) :221-233
[10]  
Guckenheimer J., 1986, DYNAMICAL SYSTEMS BI