Minimal wave speed of traveling wavefronts in delayed Belousov-Zhabotinskii model
This paper is concerned with the traveling wavefronts of Belousov-Zhabotinskii model with time delay. By constructing proper upper and lower solutions and applying the theory of asymptotic spreading, the minimal wave speed is obtained under the weaker condition than that in the known results. Moreov...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2012-11-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1412 |
| _version_ | 1827951284066451456 |
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| author | Shuxia Pan Jie Liu |
| author_facet | Shuxia Pan Jie Liu |
| author_sort | Shuxia Pan |
| collection | DOAJ |
| description | This paper is concerned with the traveling wavefronts of Belousov-Zhabotinskii model with time delay. By constructing proper upper and lower solutions and applying the theory of asymptotic spreading, the minimal wave speed is obtained under the weaker condition than that in the known results. Moreover, the strict monotonicity of any monotone traveling wavefronts is also established. |
| first_indexed | 2024-04-09T13:40:30Z |
| format | Article |
| id | doaj.art-605942b542d049b7a1c76b7ef0d9aa1f |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:30Z |
| publishDate | 2012-11-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-605942b542d049b7a1c76b7ef0d9aa1f2023-05-09T07:53:02ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752012-11-0120129011210.14232/ejqtde.2012.1.901412Minimal wave speed of traveling wavefronts in delayed Belousov-Zhabotinskii modelShuxia Pan0Jie Liu1Lanzhou University of Technology, Lanzhou, Gansu, P. R. ChinaLanzhou University of Technology, Lanzhou, Gansu, P. R. ChinaThis paper is concerned with the traveling wavefronts of Belousov-Zhabotinskii model with time delay. By constructing proper upper and lower solutions and applying the theory of asymptotic spreading, the minimal wave speed is obtained under the weaker condition than that in the known results. Moreover, the strict monotonicity of any monotone traveling wavefronts is also established.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1412comparison principleasymptotic spreadingminimal wave speed |
| spellingShingle | Shuxia Pan Jie Liu Minimal wave speed of traveling wavefronts in delayed Belousov-Zhabotinskii model Electronic Journal of Qualitative Theory of Differential Equations comparison principle asymptotic spreading minimal wave speed |
| title | Minimal wave speed of traveling wavefronts in delayed Belousov-Zhabotinskii model |
| title_full | Minimal wave speed of traveling wavefronts in delayed Belousov-Zhabotinskii model |
| title_fullStr | Minimal wave speed of traveling wavefronts in delayed Belousov-Zhabotinskii model |
| title_full_unstemmed | Minimal wave speed of traveling wavefronts in delayed Belousov-Zhabotinskii model |
| title_short | Minimal wave speed of traveling wavefronts in delayed Belousov-Zhabotinskii model |
| title_sort | minimal wave speed of traveling wavefronts in delayed belousov zhabotinskii model |
| topic | comparison principle asymptotic spreading minimal wave speed |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1412 |
| work_keys_str_mv | AT shuxiapan minimalwavespeedoftravelingwavefrontsindelayedbelousovzhabotinskiimodel AT jieliu minimalwavespeedoftravelingwavefrontsindelayedbelousovzhabotinskiimodel |