Chemical Control for Host-Parasitoid Model within the Parasitism Season and Its Complex DynamicsReport as inadecuate




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Discrete Dynamics in Nature and Society - Volume 2016 2016, Article ID 3989625, 14 pages -

Research Article

School of Management, Wuhan University of Technology, Wuhan, Hubei 430070, China

School of Economics and Management, Hubei University for Nationalities, Enshi, Hubei 445000, China

Received 26 November 2015; Accepted 28 February 2016

Academic Editor: Rigoberto Medina

Copyright © 2016 Tao Wang and Youtang Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In the present paper, we develop a host-parasitoid model with Holling type II functional response function and chemical control, which can be applied at any time of each parasitism season or pest generation, and focus on addressing the importance of the timing of application pesticide during the parasitism season or pest generation in successful pest control. Firstly, the existence and stability of both the host and parasitoid populations extinction equilibrium and parasitoid-free equilibrium have been investigated. Secondly, the effects of key parameters on the threshold conditions have been discussed in more detail, which shows the importance of pesticide application times on the pest control. Thirdly, the complex dynamics including multiple attractors coexistence, chaotic behavior, and initial sensitivity have been studied by using numerical bifurcation analyses. Finally, the uncertainty and sensitivity of all the parameters on the solutions of both the host and parasitoid populations are investigated, which can help us to determine the key parameters in designing the pest control strategy. The present research can help us to further understand the importance of timings of pesticide application in the pest control and to improve the classical chemical control and to make management decisions.





Author: Tao Wang and Youtang Zhang

Source: https://www.hindawi.com/



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