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Optimal Control Policies of Pests for Hybrid Dynamical Systems

Author

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  • Baolin Kang
  • Mingfeng He
  • Bing Liu

Abstract

We improve the traditional integrated pest management (IPM) control strategies and formulate three specific management strategies, which can be described by hybrid dynamical systems. These strategies can not only effectively control pests but also reduce the abuse of pesticides and protect the natural enemies. The aim of this work is to study how the factors, such as natural enemies optimum choice in the two kinds of different pests, timings of natural enemy releases, dosages and timings of insecticide applications, and instantaneous killing rates of pesticides on both pests and natural enemies, can affect the success of IPM control programmes. The results indicate that the pests outbreak period or frequency largely depends on the optimal selective feeding of the natural enemy between one of the pests and the control tactics. Ultimately, we obtain the only pest x2 needs to be controlled below a certain threshold while not supervising pest x1.

Suggested Citation

  • Baolin Kang & Mingfeng He & Bing Liu, 2013. "Optimal Control Policies of Pests for Hybrid Dynamical Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:574541
    DOI: 10.1155/2013/574541
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    References listed on IDEAS

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    3. Naji, R.K. & Balasim, A.T., 2007. "On the dynamical behavior of three species food web model," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1636-1648.
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