In this MQP, we attempt to classify all the possible dynamics of a three-allele selection model. A complete classification of our model, a system of two nonlinear ODEs, frst requires determining all possible cases of coexisting equilibria, then requires partitioning these cases into patterns based on which equilibria are asymptotically stable. Last, we decompose the patterns into all the possible dynamics based on the separatricies present in each pattern. This three step process completely classifies the behavior of our three-allele selection model.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Sesanker, Colbert L
• Bowers, Jesse Mark

Publisher

• Worcester Polytechnic Institute

Identifier

• E-project-030911-144616

Advisor

• Lui, Roger Y

Year

• 2011

Date created

• 2011-03-09

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Rights statement

• In Copyright