Existence of positive periodic solution of an impulsive delay logistic model (Q879525)
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scientific article; zbMATH DE number 5152369
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of positive periodic solution of an impulsive delay logistic model |
scientific article; zbMATH DE number 5152369 |
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Existence of positive periodic solution of an impulsive delay logistic model (English)
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14 May 2007
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The authors use the continuation theory for \(k\)-set contractions to study the existence of positive periodic solutions of the impulsive delay logistic model \[ \begin{cases} x'(t) = r(t)x(t)\Big(1-\frac{x(t-\tau)}{K(t)}\Big), &t\neq t_k,\\ x(t_k^+)-x(t_k)=b_kx(t_k), &k=1,2,\dots \end{cases} \] Sufficient conditions for the existence of a positive periodic solution are obtained.
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impulsive delay model
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\(k\)-set contractions
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jump condition
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existence
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periodic solution
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