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International Electronic Journal of Mathematics Education

International Electronic Journal of Mathematics Education Indexed in ESCI
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

Disclosures

Declaration of Conflict of Interest: No conflict of interest is declared by author(s).

Data sharing statement: Data supporting the findings and conclusions are available upon request from the corresponding author(s).

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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.
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