WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 23, 2024
Mathematical Modeling for Controlling Brown Planthopper
using Integrated Pest Management
Authors: , , , , ,
Abstract: One insect pest that causes enormous damage to rice plants in many countires is the brown planthopper
(BPH). Various strategies have been proposed to control BPH outbreaks, such as cultural control, physical control,
chemical control and biological control. Integrated pest management (IPM) is a method of controlling pests using
a variety of methods to achieve effective and environmentally friendly results. However, the best methods in
IPM application are yet to be determined. Since laboratory experiments have limitations in many respects, such
as ethics, time, environment, and cost, mathematical modeling is considered as an option which can be used to
study the effects of IPM on BPH infestation. In this article, we investigate mathematical models describing
management of BPH under IPM strategies. In particular, we study two biological control agents including
Cyrtorhinus lividipennis, a natural enemy of BPH, and Metarhizium neoanisopliae, an entomopathogenic fungus
that causes diseases in pests. A data set from laboratory experiments previously published is also used in this study.
In addition, we study functional responses describing predator's prey consumption. Finally, mathematical features
of the proposed models are analyzed. The existence of equilibrium points, their stability and Hopf bifurcation are
proved and numerical results are obtained to illustrate the theoretical results. This study suggests that using IPM
is an effective method for rapidly reducing insect populations in the early stages of BPH outbreaks which might
contribute to the long-term suppression of BPH.
Search Articles
Keywords: Mathematical model, Hopf bifurcation, Brown planthopper, Integrated pest management,
Biological control, Cyrtorhinus lividipennis, Metarhizium neoanisopliae
Pages: 598-618
DOI: 10.37394/23202.2024.23.61