A stochastic simulation model for Anelosimus studiosus during prey capture: A case study for determination of optimal spacing
In this paper, we develop a stochastic differential equation model to simulate the movement of a social/subsocial spider species, Anelosimus studiosus, during prey capture using experimental data collected in a structured environment. In a subsocial species, females and their maturing offspring shar...
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| Format: | Article |
| Language: | English |
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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.2014.11.1411 |
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| author | Michele L. Joyner Chelsea R. Ross Colton Watts Thomas C. Jones |
| author_facet | Michele L. Joyner Chelsea R. Ross Colton Watts Thomas C. Jones |
| author_sort | Michele L. Joyner |
| collection | DOAJ |
| description | In this paper, we develop a stochastic differential equation model to simulate the movement of a social/subsocial spider species, Anelosimus studiosus, during prey capture using experimental data collected in a structured environment. In a subsocial species, females and their maturing offspring share a web and cooperate in web maintenance and prey capture. Furthermore, observations indicate these colonies change their positioning throughout the day, clustered during certain times of the day while spaced out at other times. One key question was whether or not the spiders spaced out ``optimally'' to cooperate in prey capture. In this paper, we first show the derivation of the model where experimental data is used to determine key parameters within the model. We then use this model to test the success of prey capture under a variety of different spatial configurations for varying colony sizes to determine the best spatial configuration for prey capture. |
| format | Article |
| id | doaj-art-a74d159ff7d44b4b99a5fbbac969c899 |
| 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-a74d159ff7d44b4b99a5fbbac969c8992025-01-24T02:29:00ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-08-011161411142910.3934/mbe.2014.11.1411A stochastic simulation model for Anelosimus studiosus during prey capture: A case study for determination of optimal spacingMichele L. Joyner0Chelsea R. Ross1Colton Watts2Thomas C. Jones3Department of Mathematics & Statistics and Institute for Quantitative Biology, East Tennessee State University, Johnson City, TN, 37659Department of Mathematics & Statistics, East Tennessee State University, Johnson City, TN, 37659Department of Biological Sciences, East Tennessee State University, Johnson City, TN, 37659Department of Biological Sciences, East Tennessee State University, Johnson City, TN, 37659In this paper, we develop a stochastic differential equation model to simulate the movement of a social/subsocial spider species, Anelosimus studiosus, during prey capture using experimental data collected in a structured environment. In a subsocial species, females and their maturing offspring share a web and cooperate in web maintenance and prey capture. Furthermore, observations indicate these colonies change their positioning throughout the day, clustered during certain times of the day while spaced out at other times. One key question was whether or not the spiders spaced out ``optimally'' to cooperate in prey capture. In this paper, we first show the derivation of the model where experimental data is used to determine key parameters within the model. We then use this model to test the success of prey capture under a variety of different spatial configurations for varying colony sizes to determine the best spatial configuration for prey capture.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1411social spideranelosimus studiosusanimal movement.cooperative foragingstochastic differential equationmathematical model |
| spellingShingle | Michele L. Joyner Chelsea R. Ross Colton Watts Thomas C. Jones A stochastic simulation model for Anelosimus studiosus during prey capture: A case study for determination of optimal spacing Mathematical Biosciences and Engineering social spider anelosimus studiosus animal movement. cooperative foraging stochastic differential equation mathematical model |
| title | A stochastic simulation model for Anelosimus studiosus during prey capture: A case study for determination of optimal spacing |
| title_full | A stochastic simulation model for Anelosimus studiosus during prey capture: A case study for determination of optimal spacing |
| title_fullStr | A stochastic simulation model for Anelosimus studiosus during prey capture: A case study for determination of optimal spacing |
| title_full_unstemmed | A stochastic simulation model for Anelosimus studiosus during prey capture: A case study for determination of optimal spacing |
| title_short | A stochastic simulation model for Anelosimus studiosus during prey capture: A case study for determination of optimal spacing |
| title_sort | stochastic simulation model for anelosimus studiosus during prey capture a case study for determination of optimal spacing |
| topic | social spider anelosimus studiosus animal movement. cooperative foraging stochastic differential equation mathematical model |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1411 |
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