Persistence criteria for a chemostat with variable nutrient input (Q5933465)
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scientific article; zbMATH DE number 1599084
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Persistence criteria for a chemostat with variable nutrient input |
scientific article; zbMATH DE number 1599084 |
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Persistence criteria for a chemostat with variable nutrient input (English)
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29 April 2002
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chemostat model
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persistence
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asymptotic behaviour
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Two differential equations representing a chemostat with variable nutrient input \(q(t)\) are studied. It is assumed that \(q(t)\) is continuous, nonnegative and bounded on \([0,\infty)\).NEWLINENEWLINENEWLINEExistence, boundedness and nonnegativity of the solutions are proved. Persistence conditions are derived. It is shown that different solutions to the system have the same asymptotic behavior independent of the initial conditions.
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