Faculty Advisor

Lui, Roger Y

Abstract

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.

Publisher

Worcester Polytechnic Institute

Date Accepted

March 2011

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Unrestricted

Advisor Department

Mathematical Sciences

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