Final Project for MATH 463 - Introduction to Mathematical Biology (University of Michigan)
Written by: Ben Gott and Kevin Lim
Date: December 2007
Final paper: https://docs.google.com/file/d/0B2s79tSoas8rVktwaUZ5VFZqeWpHSmxhckRXRElOZTNlLW44/
Objectives:
- Explore the structure and behavior of fish schools via a computer simulation.
- Investigate parameters such as school size, form, density, speed, and nearest-neighbor distance between individuals.
- Demonstrate some of the basic principles of self-organization, a phenomenon in nature that leads to complex structures and behaviors based on a set of simple rules.
References:
Aoki, I. (1982). A simulation study on the schooling mechanism in fish. Bulletin of the Japan Society of Scientific Fisheries, 48, 1081-1088.
Camazine, Franks, Sneyd, Bonabeau, Deneubourg, & Theraula (2001). Self-Organization in Biological Systems. Princeton University Press, Princeton, NJ.
Huth, A., & Wissel, C. (1994). The analysis of behaviour and the structure of fish schools by means of computer simulations. Comments in Theoretical Biology, 3, 169-201.
Niwa, H.-S. (1994). Self organizing dynamic model of fish schooling. Journal of Theoretical Biology, 171, 123-136.
Shaw, E. (1970). Schooling in fishes: Critique and review. In L. Aronson (Ed.), Development and Evolution of Behavior (pp. 452-480). San Francisco: Freeman.