Lui, Roger Y
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.
Worcester Polytechnic Institute
Major Qualifying Project
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