Transient dynamics and geometrical properties in a spatial predator-prey model

KARINA LANERI; ALEJANDRO B. KOLTON; MANOJIT ROY; MERCEDES PASCUAL

Barcelona

Congreso; XVII Congreso de Fisica Estadistica (FisEs2011); 2011

Universidad de Barcelona

We study numerically an spatial individual-based predator-prey model whose mean-field counterpart is the Lotka-Volterra model. We analyze the transient dynamics towards the steady-states through equal-time spatial correlation functions, cluster-geometry and cluster-size distributions of the different species. We relate our findings with recent results [1] that display a robust bi-power law between global densities and densities of pairs allowing to write modified mean-field equations that well approximate the exact density dynamics.