Migration-driven benefit in a two-species nutrient taxis system
| Autor: | Piotr Krzyżanowski, Dariusz Wrzosek, Michael Winkler |
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| Rok vydání: | 2019 |
| Předmět: |
Time perspective
media_common.quotation_subject Taxis 01 natural sciences Competitive advantage Competition (biology) Nutrient density Mathematics - Analysis of PDEs Nutrient 35K57 35K59 35Q92 35B40 92C17 35K65 FOS: Mathematics Economics 0101 mathematics Industrial organization media_common Applied Mathematics 010102 general mathematics General Engineering General Medicine Competitor analysis 010101 applied mathematics Computational Mathematics Feature (computer vision) General Economics Econometrics and Finance Analysis Analysis of PDEs (math.AP) |
| Zdroj: | Nonlinear Analysis: Real World Applications. 48:94-116 |
| ISSN: | 1468-1218 |
| DOI: | 10.1016/j.nonrwa.2019.01.006 |
| Popis: | A model describing the competition of two species for a common nutrient is studied. It is assumed that one of the competitors is motionless while the other has the ability to move upwards gradients of the nutrient density. It is proved that under suitable assumptions on the initial data, in the long time perspective the ability to move turns out to be a crucial feature providing competitive advantage irrespectively of a possible difference between the species with regard to their rates of proliferation and nutrient uptake. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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