Impulsive biological pest control strategies of the sugarcane borer
type: Item
instance of: scholarly article
title: Impulsive biological pest control strategies of the sugarcane borer
zbMATH Open document ID: 1264.34122
DOI: 10.1155/2012/726783
author: Marat Rafikov
author: Alfredo Del Sole Lordelo
author: Elvira Rafikova
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: We propose an impulsive biological pest control of the sugarcane borer (Diatraea saccharalis) by its egg parasitoid Trichogramma galloi based on a mathematical model in which the sugarcane borer is represented by the egg and larval stages, and the parasitoid is considered in terms of the parasitized eggs. By using the Floquet theory and the small amplitude perturbation method, we show that there exists a globally asymptotically stable pest-eradication periodic solution when some conditions hold. The numerical simulations show that the impulsive release of parasitoids provides reliable strategies of the biological pest control of the sugarcane borer.
Mathematics Subject Classification ID: 34H05
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 37N25
zbMATH DE Number: 6173521
Wikidata QID: Q58911641
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/726783
OpenAlex ID: W2151924788
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description: scientific article; zbMATH DE number 6173521