Noise induced phenomena in Lotka-Volterra systems

被引:87
作者
Spagnolo, B [1 ]
Fiasconaro, A
Valenti, D
机构
[1] Univ Palermo, Ist Nazl Fis Mat, Unita Palermo, I-90128 Palermo, Italy
[2] Univ Palermo, Dipartimento Fis & Tecnol Relat, I-90128 Palermo, Italy
来源
FLUCTUATION AND NOISE LETTERS | 2003年 / 3卷 / 02期
关键词
statistical mechanics; population dynamics; noise induced effects; Lotka-Volterra equations;
D O I
10.1142/S0219477503001245
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the time evolution of two ecosystems in the presence of external noise and climatic periodical forcing by a generalized Lotka-Volterra (LV) model. In the first ecosystem, composed by two competing species, we find noise induced phenomena such as: (i) quasi deterministic oscillations, (ii) stochastic resonance, (iii) noise delayed extinction and (iv) spatial patterns. In the second ecosystem, composed by three interacting species (one predator and two preys), using a discrete model of the IV equations we find that the time evolution of the spatial patterns is strongly dependent on the initial conditions of the three species.
引用
收藏
页码:L177 / L185
页数:9
相关论文
共 25 条
[1]   Noise-enhanced stability of periodically driven metastable states [J].
Agudov, NV ;
Spagnolo, B .
PHYSICAL REVIEW E, 2001, 64 (03) :4-351024
[2]   Noisy clockwork: Time series analysis of population fluctuations in animals [J].
Bjornstad, ON ;
Grenfell, BT .
SCIENCE, 2001, 293 (5530) :638-643
[3]   Astronomical calibration of the Serravallian/Tortonian Case Pelacani section (Sicily, Italy) [J].
Caruso, A ;
Sprovieri, M ;
Bonanno, A ;
Sprovieri, R .
RIVISTA ITALIANA DI PALEONTOLOGIA E STRATIGRAFIA, 2002, 108 (02) :297-306
[4]  
CIRONE MA, 2003, NONLINEAR RELAXATION, V11, P217
[5]   Self-regulation mechanism of an ecosystem in a non-Gaussian fluctuation regime [J].
Ciuchi, S ;
dePasquale, F ;
Spagnolo, B .
PHYSICAL REVIEW E, 1996, 54 (01) :706-716
[6]  
DEPASQUALE F, 1998, STOCHASTIC MODEL POP, P305
[7]  
Droz M, 2002, PHYS REV E, V65, DOI 10.1103/PhysRevE.65.051911
[8]  
Freund J. A., 2000, STOCHASTIC PROCESSES, V557
[9]   Beyond reductionism - Introduction [J].
Gallagher, R ;
Appenzeller, T .
SCIENCE, 1999, 284 (5411) :79-79
[10]   Stochastic resonance [J].
Gammaitoni, L ;
Hanggi, P ;
Jung, P ;
Marchesoni, F .
REVIEWS OF MODERN PHYSICS, 1998, 70 (01) :223-287