Persistent competition models on two complementary nutrients with density-dependent consumption rates
| Autor: | Fethi Borsali, Karim Yadi |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Consumption (economics)
Applied Mathematics media_common.quotation_subject 010102 general mathematics Chemostat 01 natural sciences Competition (biology) Competition model Nutrient Density dependent 0103 physical sciences Applied mathematics 010307 mathematical physics 0101 mathematics Positive equilibrium Persistence (discontinuity) Mathematics media_common |
| Zdroj: | Annali di Matematica Pura ed Applicata (1923 -). 198:1-25 |
| ISSN: | 1618-1891 0373-3114 |
| DOI: | 10.1007/s10231-018-0758-4 |
| Popis: | We give a result of uniform persistence for a theoretical competition model of 3 species of microorganisms on 2 complementary nutrients in a chemostat with density-dependent growth functions. The proof consists of giving first sufficient conditions of persistence, which is by the way available for more than 3 species. Then, in the case of 2 species, we show under additional assumptions, and with the use of the so-called Hofbauer–Hutson theorem, that it is possible to obtain a uniform persistence around a positive equilibrium point. Finally, the main result is established from what preceeds and by means of Thieme–Zhao theorem. These results are illustrated by some numerical simulations. |
| Databáze: | OpenAIRE |
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