2006/06/30 by M. J. Washenberger, Mark J Washenberger, Mauro Mobilia +3 · 2 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Physics and Astronomy · Social Sciences · #Evolutionary Game Theory and Cooperation #Mathematical and Theoretical Epidemiology and Ecology Models #Stochastic processes and statistical mechanics #cond-mat.stat-mech #nlin.AO #q-bio.PE
paper · pdf · doi:10.1088/0953-8984/19/6/065139
published as J. Phys.: Condens. Matter 19, 065139 (2007) · Latex, IOP style, 17 pages, 9 figures included, related movies available at http://www.phys.vt.edu/~tauber/PredatorPrey/movies/
arxiv created 2006/06/30 · openalex publication_date 2007/01/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
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 the site-restricted predator–prey model, we also observe species coexistence in one dimension. In addition, we report results on the steady-state prey age distribution.