Modeling colony collapse disorder in honeybees as a contagion
Honeybee pollination accounts annually for over $14 billion in United States agriculture alone. Within the past decade there has been a mysterious mass die-off of honeybees, an estimated 10 million beehives and sometimes as much as 90% of an apiary. There is still no consensus on what causes this...
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AIMS Press
2014-08-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1275 |
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| author | Christopher M. Kribs-Zaleta Christopher Mitchell |
| author_facet | Christopher M. Kribs-Zaleta Christopher Mitchell |
| author_sort | Christopher M. Kribs-Zaleta |
| collection | DOAJ |
| description | Honeybee pollination accounts annually for over $14 billion in United States agriculture alone. Within the past decade there has been a mysterious mass die-off of honeybees, an estimated 10 million beehives and sometimes as much as 90% of an apiary. There is still no consensus on what causes this phenomenon, called Colony Collapse Disorder, or CCD. Several mathematical models have studied CCD by only focusing on infection dynamics. We created a model to account for both healthy hive dynamics and hive extinction due to CCD, modeling CCD via a transmissible infection brought to the hive by foragers. The system of three ordinary differential equations accounts for multiple hive population behaviors including Allee effects and colony collapse. Numerical analysis leads to critical hive sizes for multiple scenarios and highlights the role of accelerated forager recruitment in emptying hives during colony collapse. |
| format | Article |
| id | doaj-art-29dd4496149a43efba162363ccc3c3c0 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2014-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-29dd4496149a43efba162363ccc3c3c02025-01-24T02:29:00ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-08-011161275129410.3934/mbe.2014.11.1275Modeling colony collapse disorder in honeybees as a contagionChristopher M. Kribs-Zaleta0Christopher Mitchell1Departments of Mathematics and Curriculum & Instruction, University of Texas at Arlington, Box 19408, Arlington, TX 76019-0408Department of Mathematics, University of Texas at Arlington, Box 19408, Arlington, TX 76019-0408Honeybee pollination accounts annually for over $14 billion in United States agriculture alone. Within the past decade there has been a mysterious mass die-off of honeybees, an estimated 10 million beehives and sometimes as much as 90% of an apiary. There is still no consensus on what causes this phenomenon, called Colony Collapse Disorder, or CCD. Several mathematical models have studied CCD by only focusing on infection dynamics. We created a model to account for both healthy hive dynamics and hive extinction due to CCD, modeling CCD via a transmissible infection brought to the hive by foragers. The system of three ordinary differential equations accounts for multiple hive population behaviors including Allee effects and colony collapse. Numerical analysis leads to critical hive sizes for multiple scenarios and highlights the role of accelerated forager recruitment in emptying hives during colony collapse.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1275allee effecthoney beesmultistability.extinctionbifurcations |
| spellingShingle | Christopher M. Kribs-Zaleta Christopher Mitchell Modeling colony collapse disorder in honeybees as a contagion Mathematical Biosciences and Engineering allee effect honey bees multistability. extinction bifurcations |
| title | Modeling colony collapse disorder in honeybees as a contagion |
| title_full | Modeling colony collapse disorder in honeybees as a contagion |
| title_fullStr | Modeling colony collapse disorder in honeybees as a contagion |
| title_full_unstemmed | Modeling colony collapse disorder in honeybees as a contagion |
| title_short | Modeling colony collapse disorder in honeybees as a contagion |
| title_sort | modeling colony collapse disorder in honeybees as a contagion |
| topic | allee effect honey bees multistability. extinction bifurcations |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1275 |
| work_keys_str_mv | AT christophermkribszaleta modelingcolonycollapsedisorderinhoneybeesasacontagion AT christophermitchell modelingcolonycollapsedisorderinhoneybeesasacontagion |