Kinetic Monte Carlo simulations of travelling pulses and spiral waves in the lattice Lotka-Volterra modelстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:Kinetic Monte Carlo simulations are used to study the stochastic two-species Lotka-Volterra model
on a square lattice. For certain values of the model parameters, the system constitutes an excitable
medium: travelling pulses and rotating spiral waves can be excited. Stable solitary pulses travel
with constant (modulo stochastic fluctuations) shape and speed along a periodic lattice. The spiral
waves observed persist sometimes for hundreds of rotations, but they are ultimately unstable and
break-up (because of fluctuations and interactions between neighboring fronts) giving rise to
complex dynamic behavior in which numerous small spiral waves rotate and interact with each
other. It is interesting that travelling pulses and spiral waves can be exhibited by the model even
for completely immobile species, due to the non-local reaction kinetics.