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The Mathematical Study of Pest Management Strategy

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  • Jinbo Fu
  • Yanzhen Wang

Abstract

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 geometry theory of differential equations is used to prove the sufficient conditions for uniqueness of the 1-periodic solution. It proved the orbital asymptotic stability of the periodic solution. In addition, numerical analysis is used to discuss the application significance of the mathematical model in the pest management strategy.

Suggested Citation

  • Jinbo Fu & Yanzhen Wang, 2012. "The Mathematical Study of Pest Management Strategy," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-19, December.
    • Handle: RePEc:hin:jnddns:251942
    DOI: 10.1155/2012/251942
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