Mathematical Biosciences and Engineering, 2014, 11(6): 1411-1429. doi: 10.3934/mbe.2014.11.1411.

Primary: 92B99, 60H10; Secondary: 97M60.

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A stochastic simulation model for Anelosimus studiosus during prey capture: A case study for determination of optimal spacing

1. Department of Mathematics & Statistics and Institute for Quantitative Biology, East Tennessee State University, Johnson City, TN, 37659
2. Department of Mathematics & Statistics, East Tennessee State University, Johnson City, TN, 37659
3. Department of Biological Sciences, East Tennessee State University, Johnson City, TN, 37659

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.
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Keywords social spider; Anelosimus studiosus; animal movement.; cooperative foraging; Stochastic differential equation; mathematical model

Citation: 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, 2014, 11(6): 1411-1429. doi: 10.3934/mbe.2014.11.1411

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This article has been cited by

  • 1. Alex John Quijano, Michele L. Joyner, Chelsea Ross, J. Colton Watts, Edith Seier, Thomas C. Jones, Spatio-temporal analysis of foraging behaviors of Anelosimus studiosus utilizing mathematical modeling of multiple spider interaction on a cooperative web, Journal of Theoretical Biology, 2016, 408, 243, 10.1016/j.jtbi.2016.08.020
  • 2. J. Colton Watts, Chelsea R. Ross, Thomas C. Jones, Diel and life-history characteristics of personality: consistency versus flexibility in relation to ecological change, Animal Behaviour, 2015, 101, 43, 10.1016/j.anbehav.2014.12.020
  • 3. Alex John Quijano, Michele L. Joyner, Edith Seier, Nathaniel Hancock, Michael Largent, Thomas C. Jones, An aggregate stochastic model incorporating individual dynamics for predation movements of anelosimus studiosus, Mathematical Biosciences and Engineering, 2015, 12, 3, 585, 10.3934/mbe.2015.12.585
  • 4. Xi Zheng, Christine Julien, Hongxu Chen, Rodion Podorozhny, Franck Cassez, Real-Time Simulation Support for Runtime Verification of Cyber-Physical Systems, ACM Transactions on Embedded Computing Systems, 2017, 16, 4, 1, 10.1145/3063382

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Copyright Info: 2014, Michele L. Joyner, et al., licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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