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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2015-04-01
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| Series: | Frontiers in Neuroscience |
| Subjects: | |
| Online Access: | http://journal.frontiersin.org/Journal/10.3389/fnins.2015.00119/full |
| _version_ | 1811262685199728640 |
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| author | Olcay eAkman Timothy eComar Daniel eHrozencik |
| author_facet | Olcay eAkman Timothy eComar Daniel eHrozencik |
| author_sort | Olcay eAkman |
| collection | DOAJ |
| description | 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 integrated pest management because the proposed model accommodates varying unknown environmental and climatic conditions, which affect the resources needed for pest eradication. |
| first_indexed | 2024-04-12T19:31:00Z |
| format | Article |
| id | doaj.art-ca52bd8fd9704245a769317d89f3823a |
| institution | Directory Open Access Journal |
| issn | 1662-453X |
| language | English |
| last_indexed | 2024-04-12T19:31:00Z |
| publishDate | 2015-04-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Neuroscience |
| spelling | doaj.art-ca52bd8fd9704245a769317d89f3823a2022-12-22T03:19:21ZengFrontiers Media S.A.Frontiers in Neuroscience1662-453X2015-04-01910.3389/fnins.2015.00119118919On Impulsive Integrated Pest Management Models with Stochastic EffectsOlcay eAkman0Timothy eComar1Daniel eHrozencik2Illinois State UniversityBenedictine UniversityChicago State UniversityWe 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 integrated pest management because the proposed model accommodates varying unknown environmental and climatic conditions, which affect the resources needed for pest eradication.http://journal.frontiersin.org/Journal/10.3389/fnins.2015.00119/fullIntegrated Pest Managementbirth pulsestochastic componentprobabilistic mixtureImpulsive differential equations |
| spellingShingle | Olcay eAkman Timothy eComar Daniel eHrozencik On Impulsive Integrated Pest Management Models with Stochastic Effects Frontiers in Neuroscience Integrated Pest Management birth pulse stochastic component probabilistic mixture Impulsive differential equations |
| title | On Impulsive Integrated Pest Management Models with Stochastic Effects |
| title_full | On Impulsive Integrated Pest Management Models with Stochastic Effects |
| title_fullStr | On Impulsive Integrated Pest Management Models with Stochastic Effects |
| title_full_unstemmed | On Impulsive Integrated Pest Management Models with Stochastic Effects |
| title_short | On Impulsive Integrated Pest Management Models with Stochastic Effects |
| title_sort | on impulsive integrated pest management models with stochastic effects |
| topic | Integrated Pest Management birth pulse stochastic component probabilistic mixture Impulsive differential equations |
| url | http://journal.frontiersin.org/Journal/10.3389/fnins.2015.00119/full |
| work_keys_str_mv | AT olcayeakman onimpulsiveintegratedpestmanagementmodelswithstochasticeffects AT timothyecomar onimpulsiveintegratedpestmanagementmodelswithstochasticeffects AT danielehrozencik onimpulsiveintegratedpestmanagementmodelswithstochasticeffects |