Periodic solutions for a delayed competitive chemostat model with periodic nutrient input and rate
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913261886111744 |
|---|---|
| author | Faria, Teresa |
| author_facet | Faria, Teresa |
| contents | A nonautonomous periodic chemostat model with delays modelling $n$ species in competition is considered. Sufficient conditions on the coefficients and consumption functions for the species are given, for both the extinction of the species and for the existence of $n$ nontrivial and nonnegative periodic solutions. Further criteria guarantee that the system admits at least one strictly positive periodic solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07002 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Periodic solutions for a delayed competitive chemostat model with periodic nutrient input and rate Faria, Teresa Dynamical Systems 34K13, 34K20, 34K25, 92D25 A nonautonomous periodic chemostat model with delays modelling $n$ species in competition is considered. Sufficient conditions on the coefficients and consumption functions for the species are given, for both the extinction of the species and for the existence of $n$ nontrivial and nonnegative periodic solutions. Further criteria guarantee that the system admits at least one strictly positive periodic solution. |
| title | Periodic solutions for a delayed competitive chemostat model with periodic nutrient input and rate |
| topic | Dynamical Systems 34K13, 34K20, 34K25, 92D25 |
| url | https://arxiv.org/abs/2403.07002 |