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Kinetic Monte Carlo simulations of travelling pulses and spiral waves in the lattice Lotka-Volterra model

Author(s): Makeev, Alexei G.; Kurkina, Elena S.; Kevrekidis, Yannis G.

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dc.contributor.authorMakeev, Alexei G.-
dc.contributor.authorKurkina, Elena S.-
dc.contributor.authorKevrekidis, Yannis G.-
dc.date.accessioned2021-10-08T19:58:36Z-
dc.date.available2021-10-08T19:58:36Z-
dc.date.issued2012-04-04en_US
dc.identifier.citationMakeev, AG, Kurkina, ES, Kevrekidis, YG. (2012). Kinetic Monte Carlo simulations of travelling pulses and spiral waves in the lattice Lotka-Volterra model. Chaos, 22 (2), doi:10.1063/1.4729141en_US
dc.identifier.issn1054-1500-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1vk2m-
dc.description.abstractKinetic 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. © 2012 American Institute of Physics.en_US
dc.format.extent023141-1 - 023141-12en_US
dc.language.isoen_USen_US
dc.relation.ispartofChaosen_US
dc.rightsFinal published version. Article is made available in OAR by the publisher's permission or policy.en_US
dc.titleKinetic Monte Carlo simulations of travelling pulses and spiral waves in the lattice Lotka-Volterra modelen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1063/1.4729141-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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