Aggregative movement and front propagation for bi-stable population models
Front propagation for the aggregation-diffusion-reaction equation is investigated, where f is a bi-stable reaction-term and D(v) is a diffusion coefficient with changing sign, modeling aggregating-diffusing processes. We provide necessary and sufficient conditions for the existence of traveling wave...
| Main Authors: | , , , |
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| Format: | Journal article |
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2007
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| _version_ | 1826278311654850560 |
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| author | Maini, P Malaguti, L Marcelli, C Matucci, S |
| author_facet | Maini, P Malaguti, L Marcelli, C Matucci, S |
| author_sort | Maini, P |
| collection | OXFORD |
| description | Front propagation for the aggregation-diffusion-reaction equation is investigated, where f is a bi-stable reaction-term and D(v) is a diffusion coefficient with changing sign, modeling aggregating-diffusing processes. We provide necessary and sufficient conditions for the existence of traveling wave solutions and classify them according to how or if they attain their equilibria at finite times. We also show that the dynamics can exhibit the phenomena of finite speed of propagation and/or finite speed of saturation. |
| first_indexed | 2024-03-06T23:42:03Z |
| format | Journal article |
| id | oxford-uuid:6fa68ae6-1c03-471c-954a-1b7763e1d807 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T23:42:03Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | oxford-uuid:6fa68ae6-1c03-471c-954a-1b7763e1d8072022-03-26T19:31:56ZAggregative movement and front propagation for bi-stable population modelsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6fa68ae6-1c03-471c-954a-1b7763e1d807Mathematical Institute - ePrints2007Maini, PMalaguti, LMarcelli, CMatucci, SFront propagation for the aggregation-diffusion-reaction equation is investigated, where f is a bi-stable reaction-term and D(v) is a diffusion coefficient with changing sign, modeling aggregating-diffusing processes. We provide necessary and sufficient conditions for the existence of traveling wave solutions and classify them according to how or if they attain their equilibria at finite times. We also show that the dynamics can exhibit the phenomena of finite speed of propagation and/or finite speed of saturation. |
| spellingShingle | Maini, P Malaguti, L Marcelli, C Matucci, S Aggregative movement and front propagation for bi-stable population models |
| title | Aggregative movement and front propagation for bi-stable population models |
| title_full | Aggregative movement and front propagation for bi-stable population models |
| title_fullStr | Aggregative movement and front propagation for bi-stable population models |
| title_full_unstemmed | Aggregative movement and front propagation for bi-stable population models |
| title_short | Aggregative movement and front propagation for bi-stable population models |
| title_sort | aggregative movement and front propagation for bi stable population models |
| work_keys_str_mv | AT mainip aggregativemovementandfrontpropagationforbistablepopulationmodels AT malagutil aggregativemovementandfrontpropagationforbistablepopulationmodels AT marcellic aggregativemovementandfrontpropagationforbistablepopulationmodels AT matuccis aggregativemovementandfrontpropagationforbistablepopulationmodels |