Pure cross-diffusion models: Implications for traveling wave solutions

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dc.creatorBerezovskaya, Faina S.
dc.creatorKarev, Georgy P.
dc.creatorNovozhilov, Artem S.
dc.date2008-07-10
dc.date.accessioned2026-07-07T09:49:36Z
dc.date.available2026-07-07T09:49:36Z
dc.descriptionAn analysis of traveling wave solutions of pure cross-diffusion systems, i.e., systems that lack reaction and self-diffusion terms, is presented. Using the qualitative theory of phase plane analysis the conditions for existence of different types of wave solutions are formulated. In particular, it is shown that family of wave trains is a generic phenomenon in pure cross-diffusion systems. The results can be used for construction and analysis of different mathematical models describing systems with directional movement.
dc.description11 pages, 5 figues
dc.identifierhttps://arxiv.org/abs/0807.1655
dc.identifierhttp://arxiv.org/abs/0807.1655
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164646
dc.subjectPopulations and Evolution
dc.subjectPattern Formation and Solitons
dc.subjectQuantitative Methods
dc.titlePure cross-diffusion models: Implications for traveling wave solutions
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