Study of interacting particle systems: the transition to the oscillatory behavior of a prey-predator model

被引：38

作者：

Monetti, R ^{[1
]}

Rozenfeld, A ^{[1
]}

Albano, E ^{[1
]}

机构：

[1] Natl Univ La Plata, CONICET, CIC Bs As, Fac Ciencias Exactas,INIFTA, RA-1900 La Plata, Argentina

来源：

PHYSICA A | 2000年 / 283卷 / 1-2期

关键词：

competitive dynamic behavior; social behavior; phase transitions; oscillations; percolation;

D O I：

10.1016/S0378-4371(00)00127-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A prey-predator system with intelligent pursuit and evasion is studied by means of computer simulations. It is found that the model exhibits a coexistence state between prey and predators. In this state and depending on the parameters, the system may evolve toward two different regimes, characterized by the behavior of the prey-predator population. Whitin the oscillatory (fixed point) regime the specie's density changes periodically (remains constant), respectively. The transition between such regimes is rationalized in terms of a dynamic percolation process. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：52 / 58

页数：7

共 17 条

[1] Self-organized collective displacements of self-driven individuals [J].

Albano, EV .

PHYSICAL REVIEW LETTERS, 1996, 77 (10) :2129-2132

[2] AUTOMATA NETWORK PREDATOR-PREY MODEL WITH PURSUIT AND EVASION [J].

BOCCARA, N ;

ROBLIN, O ;

ROGER, M .

PHYSICAL REVIEW E, 1994, 50 (06) :4531-4541

[3] Exponential distribution of locomotion activity in cell cultures [J].

Czirok, A ;

Schlett, K ;

Madarasz, E ;

Vicsek, T .

PHYSICAL REVIEW LETTERS, 1998, 81 (14) :3038-3041

[4] Formation of complex bacterial colonies via self-generated vortices [J].

Czirok, A ;

BenJacob, E ;

Cohen, I ;

Vicsek, T .

PHYSICAL REVIEW E, 1996, 54 (02) :1791-1801

[5]

GARDINER CW, 1983, STOCHASTIC METHODS

[6]

KONNO N, 1985, PHASE TRANSITIONS IN

[7]

LIGGETT T.M., 1985, Interacting particle systems, V276

[8] Nonequilibrium roughening transition in a simple model of fungal growth in 1+1 dimensions [J].

Lopez, JM ;

Jensen, HJ .

PHYSICAL REVIEW LETTERS, 1998, 81 (08) :1734-1737

[9] Analytical note on certain rhythmic relations in organic systems [J].

Lotka, AJ .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1920, 6 :410-415

[10]

LOTKA AJ, 1925, ELEMENTS PHYSICAL BI

← 1 2 →