A mathematical study of a crop-pest–natural enemy model with Z-type control

Mandal, Dibyendu Sekhar ; Chekroun, Abdennasser ; Samanta, Sudip ; Chattopadhyay, Joydev (2021) A mathematical study of a crop-pest–natural enemy model with Z-type control Mathematics and Computers in Simulation, 187 . pp. 468-488. ISSN 03784754

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Official URL: http://doi.org/10.1016/j.matcom.2021.03.014

Related URL: http://dx.doi.org/10.1016/j.matcom.2021.03.014

Abstract

In this paper, we apply the Z-type control method to a crop-pest–natural enemy model. We consider the indirect Z-controller in the natural enemy population and investigate the mathematical properties of the model. Furthermore, our analytical results are also numerically validated. Our paper supports that the pest population can be controlled by using an indirect Z-control mechanism in the natural enemy population. Investigations on the crop-pest–natural enemy model also highlight how the Z-control method acts in respect to different dynamical regimes of the uncontrolled model.

Item Type:Article
Source:Copyright of this article belongs to Elsevier B.V.
Keywords:Crop-pest–natural enemy model;Z-type control;Local and global stability;Numerical simulations;Pest control
ID Code:132145
Deposited On:14 Dec 2022 06:33
Last Modified:14 Dec 2022 06:33

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