Submit Manuscript

International Electronic Journal of Mathematics Education

International Electronic Journal of Mathematics Education
Using Differential Equations to Model Phoretic Parasitism as Part of SCUDEM Challenge
Zachary David Fralish 1 * , Nathan Hallmark 1, Johnathon Marshall 1
1 Florida Southern College (FSC), USA
* Corresponding Author
APA
In-text citation: (Fralish et al., 2021)
Reference: Fralish, Z. D., Hallmark, N., & Marshall, J. (2021). Using Differential Equations to Model Phoretic Parasitism as Part of SCUDEM Challenge. International Electronic Journal of Mathematics Education, 16(2), em0631. https://doi.org/10.29333/iejme/10889
AMA
In-text citation: (1), (2), (3), etc.
Reference: Fralish ZD, Hallmark N, Marshall J. Using Differential Equations to Model Phoretic Parasitism as Part of SCUDEM Challenge. INT ELECT J MATH ED. 2021;16(2), em0631. https://doi.org/10.29333/iejme/10889
Chicago
In-text citation: (Fralish et al., 2021)
Reference: Fralish, Zachary David, Nathan Hallmark, and Johnathon Marshall. "Using Differential Equations to Model Phoretic Parasitism as Part of SCUDEM Challenge". International Electronic Journal of Mathematics Education 2021 16 no. 2 (2021): em0631. https://doi.org/10.29333/iejme/10889
Harvard
In-text citation: (Fralish et al., 2021)
Reference: Fralish, Z. D., Hallmark, N., and Marshall, J. (2021). Using Differential Equations to Model Phoretic Parasitism as Part of SCUDEM Challenge. International Electronic Journal of Mathematics Education, 16(2), em0631. https://doi.org/10.29333/iejme/10889
MLA
In-text citation: (Fralish et al., 2021)
Reference: Fralish, Zachary David et al. "Using Differential Equations to Model Phoretic Parasitism as Part of SCUDEM Challenge". International Electronic Journal of Mathematics Education, vol. 16, no. 2, 2021, em0631. https://doi.org/10.29333/iejme/10889
Vancouver
In-text citation: (1), (2), (3), etc.
Reference: Fralish ZD, Hallmark N, Marshall J. Using Differential Equations to Model Phoretic Parasitism as Part of SCUDEM Challenge. INT ELECT J MATH ED. 2021;16(2):em0631. https://doi.org/10.29333/iejme/10889

Abstract

The SIMIODE Challenge for Undergraduates in Differential Equation Modelling (SCUDEM) offers students the opportunity to improve their mathematical capacity, ability to think critically, and communication skills through researching, developing, and presenting on a differential equations model for a natural phenomenon. During the fall 2019 SCUDEM, we chose to model population dynamics of phoretic parasitism through chemical espionage of anti-aphrodisiacs by parasitic wasps. Additionally, we modelled the dispersion of anti-aphrodisiac pheromones from impregnated butterflies and the propagation of resultant action potentials in wasps due to stimulation of olfactory receptor neurons from these pheromones. This article displays a summary of our undergraduate student team’s response to a provided prompt in SCUDEM IV. This article additionally shares personal testimonies from three students about the modelling challenge to highlight the benefits of participating in differential equation modelling challenges.

Keywords

differential equations modelling undergraduate parasitism

References

  • Bruning, R. H., Schraw, G. J., & Ronning, R. R. (1999). Cognitive psychology and instruction. Prentice-Hall, Inc.
  • Cotič, M., & Zuljan, M. V. (2009). Problem‐based instruction in mathematics and its impact on the cognitive results of the students and on affective‐motivational aspects. Educational studies, 35(3), 297-310. https://doi.org/10.1080/03055690802648085
  • Couto, A., Alenius, M., & Dickson, B. J. (2005). Molecular, anatomical, and functional organization of the Drosophila olfactory system. Current Biology, 15(17), 1535-1547. https://doi.org/10.1016/j.cub.2005.07.034
  • Fatouros, N. E., Huigens, M. E., van Loon, J. J., Dicke, M., & Hilker, M. (2005). Butterfly anti-aphrodisiac lures parasitic wasps. Nature, 433(7027), 704-704. https://doi.org/10.1038/433704a
  • Forsberg, J., & Wiklund, C. (1989). Mating in the afternoon: Time-saving in courtship and remating by females of a polyandrous butterfly Pieris napi L. Behavioral Ecology and Sociobiology, 25(5), 349-356. https://doi.org/10.1007/BF00302992
  • Huigens, M. E., Woelke, J. B., Pashalidou, F. G., Bukovinszky, T., Smid, H. M., & Fatouros, N. E. (2010). Chemical espionage on species-specific butterfly anti-aphrodisiacs by hitchhiking Trichogramma wasps. Behavioral Ecology, 21(3), 470-478. https://doi.org/10.1093/beheco/arq007
  • Prince, M. J., & Felder, R. M. (2006). Inductive teaching and learning methods: Definitions, comparisons, and research bases. Journal of Engineering Education, 95(2), 123-138. https://doi.org/10.1002/j.2168-9830.2006.tb00884.x
  • Rasmussen, C., & Kwon, O. N. (2007). An inquiry-oriented approach to undergraduate mathematics. The Journal of Mathematical Behavior, 26(3), 189-194. https://doi.org/10.1016/j.jmathb.2007.10.001
  • SCUDEM IV 2019 Modeling Problems and Team Submissions. (2019). https://www.simiode.org/groups/scudemivstudents/files
  • Silvia, P. J. (2008). Interest—The curious emotion. Current Directions in Psychological Science, 17(1), 57-60. https://doi.org/10.1111/j.1467-8721.2008.00548.x

License

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
All Rights Reserved © 2006-2021