## Abstract and Applied Analysis

### Optimal Control Policies of Pests for Hybrid Dynamical Systems

#### 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 ${x}_{2}$ needs to be controlled below a certain threshold while not supervising pest ${x}_{1}$.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 574541, 16 pages.

Dates
First available in Project Euclid: 27 February 2014

https://projecteuclid.org/euclid.aaa/1393512063

Digital Object Identifier
doi:10.1155/2013/574541

Mathematical Reviews number (MathSciNet)
MR3108649

Zentralblatt MATH identifier
1291.92091

#### Citation

Kang, Baolin; He, Mingfeng; Liu, Bing. Optimal Control Policies of Pests for Hybrid Dynamical Systems. Abstr. Appl. Anal. 2013 (2013), Article ID 574541, 16 pages. doi:10.1155/2013/574541. https://projecteuclid.org/euclid.aaa/1393512063

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