Comar, Timothy

Rodriguez, Elizabeth

English

ISU ReD: Research and eData

Elizabeth Rodriguez and Timothy D. Comar, Benedictine University  Agent-Based Model for Integrated Pest Management with Periodic Control Strategies    We consider an agent-based model (ABM) for integrated pest management (IPM).  The model incorporates stage structure for both the pest species and the predator species. In this model, the two control strategies of augmentation of predator species and application of pesticide and the pest births occur periodically at possibly different frequencies.  We determine conditions under which either the pest species is eradicated or both species persist.  We also investigate how varying the frequency of the augmentation of the predator species and the application of pesticide with respect to the frequency of the pest births affects the amounts of augmentation and pesticide needed to obtain pest eradication and permanent solutions.  We then compare pest eradication and permanent solutions in the ABM to those in an analogous models using impulsive differential equations and difference equations.  Key words: Agent-Based Models, Integrated Pest Management, Impulsive Differential Equations 

Agent-Based Model for Integrated Pest Management with Periodic Control Strategies

Analysis of an Agent-Based Model for Integrated PestManagement with Periodic Control StrategiesTimothy D. Comar 1,*, Elizabeth Rodriguez11Department of Mathematics, Benedictine University, Lisle, IL 60532tcomar@ben.eduWe consider an agent-based model (ABM) for integrated pest management (IPM). The model incorporatesstage structure for the pest and predator species. The control strategies of augmentation of the predatorspecies and pesticide application and the pest births occur periodically at possibly different frequencies.Moreover, the amount of augmentation depends on the ratio of the population densities of the pests andpredators. We determine conditions under which pest eradication occurs and under which both speciespersist. We further investigate how varying the frequencies of the control strategies affects the amountspesticide and augmentation needed to obtain pest eradication or persistence.To provide further insight to the dynamics of the ABM, we compare the model to analogous impulsive differ-ential equation and difference equation models that exhibit similar behavior, for which we prove conditionsfor the global asymptotic stability of the pest eradication solution and the permanence of the systems. Wealso explore the possibility of emergent behavior in the ABM model that does occur in the in two analyticmodels.

Analysis of an Agent-Based Model for Integrated Pest Management with Periodic Control Strategies

https://ir.library.illinoisstate.edu/cgi/viewcontent.cgi?article=1173&amp;context=beer

Analysis of an Agent-Based Model for Integrated Pest Management with Periodic Control Strategies

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ISU ReD: Research and eData

ISU ReD: Research and eData