Spatial stochastic predator-prey models

• Autorzy: Mauro Mobilia , Ivan T. Georgiev , Uwe C. Täuber
• Języki publikacji: EN

Abstrakty

EN

We consider a broad class of stochastic lattice predator-prey models whose main features are overviewed. In particular, this article aims at drawing a picture of the influence of spatial fluctuations, which are not accounted for by the deterministic rate equations, on the properties of the stochastic models. Here, we outline the robust scenario obeyed by most of the lattice predator-prey models with an interaction à la Lotka-Volterra. We also show how a drastically different behavior can emerge as the result of a subtle interplay between long-range interactions and a nearest-neighbor exchange process.

Kategorie tematyczne

• 82C26: Dynamic and nonequilibrium phase transitions (general)
• 82C31: Stochastic methods (Fokker-Planck, Langevin, etc.)
• 92D25: Population dynamics (general)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 80
• Numer: 1
• Strony: 253-257

Daty

wydano

2008

Twórcy

autor

Mauro Mobilia

• Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Department of Physics, Ludwig-Maximilians-Universität München, D-80333 München, Germany
• Department of Physics and Center for Stochastic Processes in Science and Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0435, U.S.A.

autor

Ivan T. Georgiev

• Department of Physics and Center for Stochastic Processes in Science and Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0435, U.S.A.

autor

Uwe C. Täuber

• Department of Physics and Center for Stochastic Processes in Science and Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0435, U.S.A.

Identyfikatory

DOI

10.4064/bc80-0-16