Validation and Comparison of Two Spotted Spider Mites System

The twospotted spider mite, Tetranychus urticae, is one of the most serious pests that cause damage to crops. Its predator, a mite of the family Phytoseiulus persimilis, plays an important role in keeping the spider mites population under control. In this paper we review three mathematical models de...

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Bibliographic Details
Published inIISE Annual Conference. Proceedings p. 2029
Main Authors Kuang, Yan, Ben-Arieh, David, Zhao, Songnian, Wu, Chih-Hang (John, Margolies, David, Nechols, James
Format Journal Article
LanguageEnglish
Published Norcross Institute of Industrial and Systems Engineers (IISE) 01.01.2015
Subjects
Crops
Eggs
Insects
Mathematical models
Pest control
Simulation
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Summary:The twospotted spider mite, Tetranychus urticae, is one of the most serious pests that cause damage to crops. Its predator, a mite of the family Phytoseiulus persimilis, plays an important role in keeping the spider mites population under control. In this paper we review three mathematical models developed earlier and add a new model called Integro Diffusion model. This modeling approach describes the phenomenon of long distance movement in each species of twospotted spider mite and its predator. We compare and validate the models by fitting experimental data. The results are discussed from both the mathematical and the epidemiological perspective.