Graduation Year
2016
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Andrew Bernoff
Reader 2
Chad Topaz
Terms of Use & License Information
This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 4.0 License.
Rights Information
© 2016 Ryan C Jones
Abstract
Locust swarms cause famine and hunger in parts of Sub-Saharan Africa as they travel across croplands and eat vegetation. Current models start with biological properties of locusts and analyze the macroscopic behavior of the system. These models exhibit the desired migratory behavior, but do so with too many parameters. To account for this, a new model, the Alignment and Intermittent Motion (AIM) model, is derived with minimal assumptions. AIM is constructed with regards to locust biology, allowing it to elicit biologically correct locust behavior: the most noteworthy being the fingering of hopper bands. A Particle-in-Cell method is used to optimize simulations, allowing for trials of up to 106 particles over reasonable timescales. We analyze the shapes of these swarms, note the similarities between simulations of large and small swarms, and propose possible methods for analyzing simulation metrics.
Recommended Citation
Jones, Ryan C., "Hopper Bands: Locust Aggregation" (2016). HMC Senior Theses. 81.
https://scholarship.claremont.edu/hmc_theses/81
Source Fulltext
https://www.math.hmc.edu/~rjones/thesis/rjones-2016-thesis.pdf
