Analysis of a Model Arising from Invasion by Precursor and Differentiated Cells
We study the wave solutions for a degenerated reaction diffusion system arising from the invasion of cells. We show that there exists a family of waves for the wave speed larger than or equal a certain number and below which there are no monotonic wave solutions. We also investigate the monotonicity...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2013/341473 |
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| _version_ | 1832551618801827840 |
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| author | Xiaojie Hou |
| author_facet | Xiaojie Hou |
| author_sort | Xiaojie Hou |
| collection | DOAJ |
| description | We study the wave solutions for a degenerated reaction diffusion system arising from the invasion of cells. We show that there exists a family of waves for the wave speed larger than or equal a certain number and below which there are no monotonic wave solutions. We also investigate the monotonicity, uniqueness, and asymptotics of the waves. |
| format | Article |
| id | doaj-art-999813a2a0a24870a8975dd7615d23b8 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-999813a2a0a24870a8975dd7615d23b82025-02-03T06:01:03ZengWileyInternational Journal of Differential Equations1687-96431687-96512013-01-01201310.1155/2013/341473341473Analysis of a Model Arising from Invasion by Precursor and Differentiated CellsXiaojie Hou0Department of Mathematics, University of North Carolina Wilmington, Wilmington, NC 28403, USAWe study the wave solutions for a degenerated reaction diffusion system arising from the invasion of cells. We show that there exists a family of waves for the wave speed larger than or equal a certain number and below which there are no monotonic wave solutions. We also investigate the monotonicity, uniqueness, and asymptotics of the waves.http://dx.doi.org/10.1155/2013/341473 |
| spellingShingle | Xiaojie Hou Analysis of a Model Arising from Invasion by Precursor and Differentiated Cells International Journal of Differential Equations |
| title | Analysis of a Model Arising from Invasion by Precursor and Differentiated Cells |
| title_full | Analysis of a Model Arising from Invasion by Precursor and Differentiated Cells |
| title_fullStr | Analysis of a Model Arising from Invasion by Precursor and Differentiated Cells |
| title_full_unstemmed | Analysis of a Model Arising from Invasion by Precursor and Differentiated Cells |
| title_short | Analysis of a Model Arising from Invasion by Precursor and Differentiated Cells |
| title_sort | analysis of a model arising from invasion by precursor and differentiated cells |
| url | http://dx.doi.org/10.1155/2013/341473 |
| work_keys_str_mv | AT xiaojiehou analysisofamodelarisingfrominvasionbyprecursoranddifferentiatedcells |