Barrett

Barrett, The Honors College at Arizona State University proudly showcases the work of undergraduate honors students by sharing this collection exclusively with the ASU community.

Barrett accepts high performing, academically engaged undergraduate students and works with them in collaboration with all of the other academic units at Arizona State University. All Barrett students complete a thesis or creative project which is an opportunity to explore an intellectual interest and produce an original piece of scholarly research. The thesis or creative project is supervised and defended in front of a faculty committee. Students are able to engage with professors who are nationally recognized in their fields and committed to working with honors students. Completing a Barrett thesis or creative project is an opportunity for undergraduate honors students to contribute to the ASU academic community in a meaningful way.

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A Model for the Division of Labor Through Network Interactions

Description
We model communication among social insects as an interacting particle system in which individuals perform one of two tasks and neighboring sites anti-mimic one another. Parameters of our model are a probability of defection 2 (0; 1) and relative cost ci > 0 to the individual performing task i. We…

We model communication among social insects as an interacting particle system in which individuals perform one of two tasks and neighboring sites anti-mimic one another. Parameters of our model are a probability of defection 2 (0; 1) and relative cost ci > 0 to the individual performing task i. We examine this process on complete graphs, bipartite graphs, and the integers, answering questions about the relationship between communication, defection rates and the division of labor. Assuming the division of labor is ideal when exactly half of the colony is performing each task, we nd that on some bipartite graphs and the integers it can eventually be made arbitrarily close to optimal if defection rates are sufficiently small. On complete graphs the fraction of individuals performing each task is also closest to one half when there is no defection, but is bounded by a constant dependent on the relative costs of each task.
ContributorsArcuri, Alesandro Antonio (Author) / Lanchier, Nicolas (Thesis director) / Kang, Yun (Committee member) / Fewell, Jennifer (Committee member) / Barrett, The Honors College (Contributor) / School of International Letters and Cultures (Contributor) / Economics Program in CLAS (Contributor) / School of Mathematical and Statistical Sciences (Contributor)
Created2015-05
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Mathematical Modeling of Foundress Associations in Social Insects in Order to Understand Aggression in Cooperative Social Systems

Description
This project aims to better understand aggression in a cooperative social system, specifically within the ant species Pogonomyrmex Californicus. The queens of some populations of these ants form cooperative associations of unrelated queens during nest foundation, while others prefer to form solitary nests and may show aggression towards unwanted nest…

This project aims to better understand aggression in a cooperative social system, specifically within the ant species Pogonomyrmex Californicus. The queens of some populations of these ants form cooperative associations of unrelated queens during nest foundation, while others prefer to form solitary nests and may show aggression towards unwanted nest mates. Because it is difficult to collect large amounts of data from a wild population and laboratory environments cannot capture the scale of nature, we created a computer simulation based on data collected in the lab and the field that emulates the life cycle of this species of ants. By manipulating behavioral and environmental conditions and observing the results we were able to better understand the advantages and disadvantages of showing aggression in this cooperative social system.
ContributorsScolaro, Jared Anthony (Author) / Kostelich, Eric (Thesis director) / Fewell, Jennifer (Committee member) / School of International Letters and Cultures (Contributor) / W. P. Carey School of Business (Contributor) / School of Mathematical and Statistical Sciences (Contributor) / Barrett, The Honors College (Contributor)
Created2016-05