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Dynamic modelling of pest control using a pesticide

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Show simple item record Verwoerd, Wynand S. Nguyen, Lan K. 2009-04-09T03:47:38Z 2009-04-09T03:47:38Z 2003-08
dc.identifier.issn 1174-6696
dc.description.abstract A general differential equation model of the temporal evolution of a pest population density when subjected to control measures using a pesticide, is investigated. The model is based on logistic growth combined with population dispersal described by diffusion, and pesticide action is characterised by its LD90 toxicity measure and a consumption limited by a saturation pesticide density. Solutions are found for a number of assumed scenarios concerning the initial pest distribution and pesticide application strategy. Criteria are established for pesticide toxicity and application density to ensure eradication, and the efficiency of the strategies investigated are compared with regard to total pesticide consumption. It is shown that rather general conclusions can be reached, such as that it is inevitable that a pesticide residue is left after full eradication has been accomplished. en
dc.language.iso en en
dc.publisher Lincoln University. Applied Computing, Mathematics and Statistics Group. en
dc.relation.ispartofseries Research report (Lincoln University (Canterbury, N.Z.). Applied Computing, Mathematics and Statistics Group) ; no. 02/2003 en
dc.subject mathematical models en
dc.subject pest control en
dc.subject pesticides en
dc.subject population dynamics en
dc.title Dynamic modelling of pest control using a pesticide en
dc.type Monograph en
dc.subject.marsden Fields of Research::230000 Mathematical Sciences::230100 Mathematics en
dc.subject.marsden Fields of Research::300000 Agricultural, Veterinary and Environmental Sciences::300800 Environmental Science::300802 Wildlife and habitat management en
lu.contributor.unit Department of Applied Computing en

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