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Title: Critical and oscillatory behavior of a system of smart preys and predators

Abstract

It is shown that a system of smart preys and predators exhibits irreversible phase transitions between a regime of prey-predator coexistence and an state where predator extinction is observed. Within the coexistence regime, the system exhibits a transition between a regime where the densities of species remain constant and another with self-sustained oscillations, respectively. This transition is located by means of a combined treatment involving finite-size scaling and Fourier transforms. Furthermore, it is shown that the transition can be rationalized in terms of the standard percolation theory. The existence of an oscillatory regime in the thermodynamic limit, which is in contrast to previous findings of Boccara [Phys. Rev. E >50, 4531 (1994)], may be due to subtle differences between the studied models.

Authors:
;
Publication Date:
Sponsoring Org.:
(US)
OSTI Identifier:
40203425
Resource Type:
Journal Article
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 63; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevE.63.061907; Othernumber: PLEEE8000063000006061907000001; 051106PRE; PBD: Jun 2001; Journal ID: ISSN 1063-651X
Publisher:
The American Physical Society
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; OSCILLATIONS; THERMODYNAMICS; BEHAVIOR

Citation Formats

Rozenfeld, Alejandro F, and Albano, Ezequiel V. Critical and oscillatory behavior of a system of smart preys and predators. United States: N. p., 2001. Web. doi:10.1103/PhysRevE.63.061907.
Rozenfeld, Alejandro F, & Albano, Ezequiel V. Critical and oscillatory behavior of a system of smart preys and predators. United States. https://doi.org/10.1103/PhysRevE.63.061907
Rozenfeld, Alejandro F, and Albano, Ezequiel V. 2001. "Critical and oscillatory behavior of a system of smart preys and predators". United States. https://doi.org/10.1103/PhysRevE.63.061907.
@article{osti_40203425,
title = {Critical and oscillatory behavior of a system of smart preys and predators},
author = {Rozenfeld, Alejandro F and Albano, Ezequiel V},
abstractNote = {It is shown that a system of smart preys and predators exhibits irreversible phase transitions between a regime of prey-predator coexistence and an state where predator extinction is observed. Within the coexistence regime, the system exhibits a transition between a regime where the densities of species remain constant and another with self-sustained oscillations, respectively. This transition is located by means of a combined treatment involving finite-size scaling and Fourier transforms. Furthermore, it is shown that the transition can be rationalized in terms of the standard percolation theory. The existence of an oscillatory regime in the thermodynamic limit, which is in contrast to previous findings of Boccara [Phys. Rev. E >50, 4531 (1994)], may be due to subtle differences between the studied models.},
doi = {10.1103/PhysRevE.63.061907},
url = {https://www.osti.gov/biblio/40203425}, journal = {Physical Review E},
issn = {1063-651X},
number = 6,
volume = 63,
place = {United States},
year = {Fri Jun 01 00:00:00 EDT 2001},
month = {Fri Jun 01 00:00:00 EDT 2001}
}