The mathematical study of pest management strategy (Q1936009)
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scientific article; zbMATH DE number 6137724
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The mathematical study of pest management strategy |
scientific article; zbMATH DE number 6137724 |
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The mathematical study of pest management strategy (English)
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21 February 2013
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Summary: The theory of impulsive state feedback control is used to establish a mathematical model in the pest management strategy. Then, the qualitative analysis of the mathematical model was provided. Here, a successor function in the geometric theory of differential equations is used to prove the sufficient conditions for uniqueness of the 1-periodic solution. The orbital asymptotic stability of the periodic solution is proved. In addition, numerical analysis shows the significance of the mathematical model in the pest management strategy.
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impulsive state feedback control
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mathematical model
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pest management
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geometric theory of differential equations
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1-periodic solution
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orbital asymptotic stability
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