Exact propagating wave solutions in reaction cross-diffusion system
dc.contributor.author | Aldurayhim, A | |
dc.contributor.author | Biktashev, VN | |
dc.date.accessioned | 2020-09-17T12:02:41Z | |
dc.date.issued | 2020-09-16 | |
dc.description.abstract | Reaction-diffusion systems with cross-diffusion terms in addition to, or instead of, the usual self-diffusion demonstrate interesting features which motivate their further study. The present work is aimed at designing a toy reaction-cross-diffusion model with exact solutions in the form of propagating fronts. We propose a minimal model of this kind which involves two species linked by cross-diffusion, one of which governed by a linear equation and the other having a polynomial kinetic term. We classify the resulting exact propagating front solutions. Some of them have some features of the Fisher-KPP fronts and some features of the ZFK-Nagumo fronts. | en_GB |
dc.description.sponsorship | Prince Sattam Bin Abdulaziz University | en_GB |
dc.description.sponsorship | Engineering and Physical Sciences Research Council (EPSRC) | en_GB |
dc.description.sponsorship | National Science Foundation (NSF) | en_GB |
dc.description.sponsorship | National Institutes of Health (NIH) | en_GB |
dc.description.sponsorship | Gordon and Betty and Gordon Moore Foundation | en_GB |
dc.identifier.citation | Vol. 5, article 100049 | en_GB |
dc.identifier.doi | 10.1016/j.csfx.2020.100049 | |
dc.identifier.grantnumber | EP/N014391/1 | en_GB |
dc.identifier.grantnumber | NSF PHY-1748958 | en_GB |
dc.identifier.grantnumber | R25GM067110 | en_GB |
dc.identifier.grantnumber | 2919.01 | en_GB |
dc.identifier.uri | http://hdl.handle.net/10871/122895 | |
dc.language.iso | en | en_GB |
dc.publisher | Elsevier | en_GB |
dc.rights | © 2020 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/) | |
dc.subject | Reaction-diffusion | en_GB |
dc.subject | cross-diffusion | en_GB |
dc.subject | Fisher-KPP model | en_GB |
dc.subject | ZFK-Nagumo model | en_GB |
dc.subject | propagating wave | en_GB |
dc.subject | propagating front | en_GB |
dc.title | Exact propagating wave solutions in reaction cross-diffusion system | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2020-09-17T12:02:41Z | |
dc.identifier.issn | 2590-0544 | |
dc.description | This is the final version. Available on open access from Elsevier via the DOI in this record | en_GB |
dc.identifier.journal | Chaos, Solitons and Fractals X | en_GB |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_GB |
dcterms.dateAccepted | 2020-09-15 | |
rioxxterms.version | VoR | en_GB |
rioxxterms.licenseref.startdate | 2020-09-15 | |
rioxxterms.type | Journal Article/Review | en_GB |
refterms.dateFCD | 2020-09-17T11:57:47Z | |
refterms.versionFCD | AM | |
refterms.dateFOA | 2020-10-09T13:22:58Z | |
refterms.panel | B | en_GB |
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This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/)