Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-06-30
J. Phys.: Condens. Matter 19, 065139 (2007)
Physics
Condensed Matter
Statistical Mechanics
Latex, IOP style, 17 pages, 9 figures included, related movies available at http://www.phys.vt.edu/~tauber/PredatorPrey/movies
Scientific paper
10.1088/0953-8984/19/6/065139
We study a stochastic lattice predator-prey system by means of Monte Carlo simulations that do not impose any restrictions on the number of particles per site, and discuss the similarities and differences of our results with those obtained for site-restricted model variants. In accord with the classic Lotka-Volterra mean-field description, both species always coexist in two dimensions. Yet competing activity fronts generate complex, correlated spatio-temporal structures. As a consequence, finite systems display transient erratic population oscillations with characteristic frequencies that are renormalized by fluctuations. For large reaction rates, when the processes are rendered more local, these oscillations are suppressed. In contrast with site-restricted predator-prey model, we observe species coexistence also in one dimension. In addition, we report results on the steady-state prey age distribution.
Mobilia Mauro
T"auber Uwe C.
Washenberger M. J.
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