Noise­induced phase transitions

NOISE-­INDUCED PHASE TRANSITIONS IN COMPETITION PROCESSES IN THE EXTERNAL FLUCTUATED MEDIA

The influence of external additive homogeneous isotropic field of Gauss fluctuations to evolution of competition processes, which described by Lotka–Volterra equations, where taking into account the mobility of weak population individuals and spatial and temporal fluctuations of resource, has been researched. The numerical simulation of considered model was performed.