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Consortium for Mathematics and its Applications

Mathmodels.org
Resource Type: Contest Problem
Primary Level: High School
Additional Level: Undergraduate

Birds of Different Feathers

Author: COMAP


Background 

Prey animals often collect into groups and move together. The resulting groups may contain one species of animal or may include multiple species. Different reasons for why animals form such groups have been proposed including increased efficiency in foraging, better detection of predators, and other advantages. We will focus on the detection of predators in groups with multiple species[1].

One proposal for why animals collect in large groups is that different species might be able to better detect the presence of predators due to the variation in their behaviours. Is it possible to provide evidence that this is the case? You are asked to develop a mathematical model of how the animals in a group composed of different species interacts and observe their environment.

If a group is composed of different species are they more likely to detect the presence of a predator? If so, what is the importance of the number of different species? Is there a minimum number of species for there to be a non-trivial advantage? Is there an upper bound for the number of species in which additional types of animals have a smaller impact?

The outstanding video submissions can be found on YouTube

Problem Download

©2025 by COMAP, Inc.
SCUDEM
Commentary: No | Student Videos: Yes (7)

Mathematics Topics:

Math Modeling

Application Areas:

Life Sciences & Medicine , Contest Preparation

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