Regensburg 2007 – scientific programme
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BP: Fachverband Biologische Physik
BP 1: Evolutionary and Population Dynamics
BP 1.7: Talk
Monday, March 26, 2007, 11:45–12:00, H43
Influence of carrying capacity on stochastic predator-prey models — •Mauro Mobilia1, Mark Washenberger2, and Uwe Taeuber2 — 1Arnold Sommerfeld Center and Center for NanoScience, Ludwig-Maximilians-Universitaet Muenchen — 2Virginia Polytechnic Institute and State University
We study a class of stochastic lattice predator-prey systems in the presence and the absence of restrictions on the number of particles per site. In the former case, the systems are characterized by an extinction threshold. On the other hand, when there is no site restrictions, the species always coexist in two dimensions. In both cases, by pointing out similarities and differences, we carefully discuss the properties of the coexistence phases and of the correlated spatio-temporal structures which form in the course of the dynamics.
Refs: cond-mat/0606809 (accepted in J.Phys.:Condens. Matt.); Phys. Rev. E 73, 040903(R) (2006); q-bio.PE/0512039 (accepted in J.Stat.Phys.); q-bio.PE/0609039.