Chaos in seasonally perturbed ratio-dependent prey-predator system

被引：55
|
作者：
Gakkhar, S [1 ]
Naji, RK [1 ]
机构：
[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India
来源：
CHAOS SOLITONS & FRACTALS | 2003年 / 15卷 / 01期
关键词：
D O I：
10.1016/S0960-0779(02)00114-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the effects of periodic forcing, in the intrinsic growth rate of the prey, on the Holling-Tanner ratio-dependent prey-predator system. Lyapunov exponents, Lyapunov dimension, and Poincare section are obtained for section of parametric space for the resulting forced system. The abundance of steady state chaotic solutions is detected when seasonality is super imposed on the system, which otherwise has a globally stable equilibrium state or globally stable limit cycle. The results support the conjecture that seasons can very easily give rise to complex population dynamics. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：107 / 118
页数：12
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