self-organization.

MIXING AND DIFFUSION EFFECT ON SPATIAL-TEMPORAL DYNAMICS IN STOCHASTIC LOTKA–VOLTERRA SYSTEM WITH DISCRETE PHASE SPACE

The influence of two types of diffusion on dynamics of stochastic lattice Lotka–Volterra model is considered in this work. The simulations were carried out by means of Kinetic Monte-Carlo algorithm. It is shown that the local diffusion considerably changes 75the dynamics of the model and accelerates the interaction processes on the lattice, while the mixing results in appearance of global periodic oscillations. The global oscillations appear due to phenomenon of phase synchronization.