Pursuit-evasion predator-prey waves in two spatial dimensions

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Pursuit-evasion predator-prey waves in two spatial dimensions

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dc.contributor.author Biktashev, V. N. en_US
dc.contributor.author Brindley, J. en_US
dc.contributor.author Holden, A. V. en_US
dc.contributor.author Tsyganov, M. A. en_US
dc.date.accessioned 2012-09-28T17:56:37Z en_US
dc.date.accessioned 2013-03-20T12:44:05Z
dc.date.issued 2004-12 en_US
dc.description.abstract We consider a spatially distributed population dynamics model with excitable predator-prey kinetics, where species propagate in space due to their taxis with respect to each other's gradient in addition to, or instead of, their diffusive spread. Earlier, we have described new phenomena in this model in one spatial dimension, not found in analogous systems without taxis: reflecting and self-splitting waves. Here we identify new phenomena in two spatial dimensions: unusual patterns of meander of spirals, partial reflection of waves, swelling wave tips, attachment of free wave ends to wave backs, and as a result, a novel mechanism of self-supporting complicated spatiotemporal activity, unknown in reaction-diffusion population models. en_US
dc.identifier.citation Vol. 14 (4), pp. 988 - 994 en_US
dc.identifier.doi 10.1063/1.1793751 en_US
dc.identifier.uri http://hdl.handle.net/10036/3772 en_US
dc.language.iso eng en_US
dc.publisher American Institute of Physics en_US
dc.relation.url http://dx.doi.org/10.1063/1.1793751 en_US
dc.subject Adaptation, Physiological en_US
dc.subject Animals en_US
dc.subject Competitive Behavior en_US
dc.subject Computer Simulation en_US
dc.subject Ecosystem en_US
dc.subject Humans en_US
dc.subject Models, Biological en_US
dc.subject Movement en_US
dc.subject Nonlinear Dynamics en_US
dc.subject Population Dynamics en_US
dc.subject Predatory Behavior en_US
dc.title Pursuit-evasion predator-prey waves in two spatial dimensions en_US
dc.date.available 2012-09-28T17:56:37Z en_US
dc.date.available 2013-03-20T12:44:05Z
dc.identifier.issn 1054-1500 en_US
exeter.contacts.depositing-owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.contacts.depositing-owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.contacts.owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.contacts.owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.place-of-publication United States en_US
dc.description Copyright © 2004 American Institute of Physics en_US
dc.description Journal Article en_US
dc.identifier.journal Chaos en_US


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