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Kinetic Monte Carlo simulations of travelling pulses and spiral waves in the lattice Lotka-Volterra modelстатья
Статья опубликована в высокорейтинговом журнале
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
- Авторы: Makeev A.G., Kurkina E.S., Kevrekidis I.G.
- Журнал: Chaos
- Том: 22
- Номер: 2
- Год издания: 2012
- Издательство: AIP Publishing
- Местоположение издательства: United States
- Первая страница: 023141-1
- Последняя страница: 023141-12
- DOI: 10.1063/1.4729141
- 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.
- Добавил в систему: Макеев Алексей Геннадьевич