Speed of wave-front solutions to hyperbolic reaction-diffusion equations
dc.contributor.author
dc.date.accessioned
2013-04-09T15:37:03Z
dc.date.available
2013-04-09T15:37:03Z
dc.date.issued
1999
dc.identifier.issn
1539-3755
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dc.description.abstract
The asymptotic speed problem of front solutions to hyperbolic reaction-diffusion (HRD) equations is studied in detail. We perform linear and variational analyses to obtain bounds for the speed. In contrast to what has been done in previous work, here we derive upper bounds in addition to lower ones in such a way that we can obtain improved bounds. For some functions it is possible to determine the speed without any uncertainty. This is also achieved for some systems of HRD (i.e., time-delayed Lotka-Volterra) equations that take into account the interaction among different species. An analytical analysis is performed for several systems of biological interest, and we find good agreement with the results of numerical simulations as well as with available observations for a system discussed recently
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application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
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Reproducció digital del document publicat a: http://link.aps.org/doi/10.1103/PhysRevE.60.5231
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© Physical Review E, 1999, vol. 60, núm. 5, p. 5231-5243
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Articles publicats (D-F)
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Tots els drets reservats
dc.subject
dc.title
Speed of wave-front solutions to hyperbolic reaction-diffusion equations
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.embargo.terms
Cap
dc.type.version
info:eu-repo/semantics/publishedVersion
dc.identifier.doi
dc.identifier.idgrec
003733
dc.identifier.eissn
1550-2376