Influence of local carrying capacity restrictions on stochastic predator–prey models

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.

• Publication year

  2006

• Venue

  Journal of Physics: Condensed Matter

• Publication date

  2006-06-30

• Fields of study

  Biology, Mathematics, Physics

• Identifiers
  DOI 10.1088/0953-8984/19/6/065139arXiv cond-mat/0606809
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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