Existence of Traveling Fronts in a Food-Limited Population Model with Spatiotemporal Delay
This paper is concerned with the traveling fronts of a diffusive food-limited population model with spatiotemporal delay. Sufficient conditions are established for the existence of traveling wave fronts by choosing different kinds of delay kernels. The approach used here is the upper-lower solution...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/705197 |
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| _version_ | 1850211128021352448 |
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| author | Hai-Qin Zhao San-Yang Liu |
| author_facet | Hai-Qin Zhao San-Yang Liu |
| author_sort | Hai-Qin Zhao |
| collection | DOAJ |
| description | This paper is concerned with the traveling fronts of a diffusive food-limited population model with spatiotemporal delay. Sufficient conditions are established for the existence of traveling wave fronts by choosing different kinds of delay kernels. The approach used here is the upper-lower solution method and monotone iteration technique. Our work extends and/or covers some previous results. |
| format | Article |
| id | doaj-art-89a4f41e450e4aafb24e7d780c482ceb |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-89a4f41e450e4aafb24e7d780c482ceb2025-08-20T02:09:37ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/705197705197Existence of Traveling Fronts in a Food-Limited Population Model with Spatiotemporal DelayHai-Qin Zhao0San-Yang Liu1College of Mathematics and Information Science, Xianyang Normal University, Xianyang, Shaanxi 712000, ChinaDepartment of Mathematics, Xidian University, Xi’an, Shaanxi 710071, ChinaThis paper is concerned with the traveling fronts of a diffusive food-limited population model with spatiotemporal delay. Sufficient conditions are established for the existence of traveling wave fronts by choosing different kinds of delay kernels. The approach used here is the upper-lower solution method and monotone iteration technique. Our work extends and/or covers some previous results.http://dx.doi.org/10.1155/2012/705197 |
| spellingShingle | Hai-Qin Zhao San-Yang Liu Existence of Traveling Fronts in a Food-Limited Population Model with Spatiotemporal Delay Journal of Applied Mathematics |
| title | Existence of Traveling Fronts in a Food-Limited Population Model with Spatiotemporal Delay |
| title_full | Existence of Traveling Fronts in a Food-Limited Population Model with Spatiotemporal Delay |
| title_fullStr | Existence of Traveling Fronts in a Food-Limited Population Model with Spatiotemporal Delay |
| title_full_unstemmed | Existence of Traveling Fronts in a Food-Limited Population Model with Spatiotemporal Delay |
| title_short | Existence of Traveling Fronts in a Food-Limited Population Model with Spatiotemporal Delay |
| title_sort | existence of traveling fronts in a food limited population model with spatiotemporal delay |
| url | http://dx.doi.org/10.1155/2012/705197 |
| work_keys_str_mv | AT haiqinzhao existenceoftravelingfrontsinafoodlimitedpopulationmodelwithspatiotemporaldelay AT sanyangliu existenceoftravelingfrontsinafoodlimitedpopulationmodelwithspatiotemporaldelay |