Existence and stability of periodic solution of a predator-prey model with state-dependent impulsive effects (Q1013148)
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scientific article; zbMATH DE number 5544600
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and stability of periodic solution of a predator-prey model with state-dependent impulsive effects |
scientific article; zbMATH DE number 5544600 |
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Existence and stability of periodic solution of a predator-prey model with state-dependent impulsive effects (English)
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17 April 2009
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The authors investigate the dynamic behavior of a class of predator-prey systems with state-dependent impulsive effects by releasing natural enemies and spraying pesticides at different thresholds. By using the Poincaré map and the properties of the Lambert function, the authors obtain some sufficient conditions for the existence and stability of semi-trivial solutions and positive periodic solutions. Numerical results are also carried out to illustrate the main results.
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impulsive state feedback control
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Lambert \(W\) function
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stability
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