On impulsive integrated pest management models with stochastic effects

We extend existing impulsive differential equation models for integrated pest management (IPM) by including stage structure for both predator and prey as well as by adding stochastic elements in the birth rate of the prey. Based on our model, we propose an approach that incorporates various competin...

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Bibliographic Details
Published in:Frontiers in neuroscience 2015-04, Vol.9, p.119-119
Main Authors: Akman, Olcay, Comar, Timothy D, Hrozencik, Daniel
Format: Article
Language:English
Subjects:
birth pulse
Birth rate
Climatic conditions
Crop diseases
Environmental conditions
Eradication
Impulsive differential equations
Insects
Integrated Pest Management
Management
Mathematical models
Mathematics
Neuroscience
Pest control
Pesticides
Population
Prey
probabilistic mixture
stochastic component
Stochasticity
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Summary:We extend existing impulsive differential equation models for integrated pest management (IPM) by including stage structure for both predator and prey as well as by adding stochastic elements in the birth rate of the prey. Based on our model, we propose an approach that incorporates various competing stochastic components. This approach enables us to select a model with optimally determined weights for maximum accuracy and precision in parameter estimation. This is significant in the case of IPM because the proposed model accommodates varying unknown environmental and climatic conditions, which affect the resources needed for pest eradication.
ISSN:1662-4548
1662-453X
1662-453X
DOI:10.3389/fnins.2015.00119