Unformatted text preview: 1. Build a model from basic assumptions. That is, given one or more populations, birth rate, death rate, and/or any other information, write di±erence equation(s) for the population(s). You should be able to do this for one or more population variables. You should be able to write the model as either di±erence equation(s) or as recursive equation(s). 2. Conduct qualitative analysis on a onevariable model. I.e.: • ²ind all equilibrium solutions. • Predict behavior of other solutions. • Use your analysis to answer questions about the model or to chose from among models. (The matching problem from Homework 2 is an example.) 3. Conduct qualitative analysis of a twovariable model. I.e.: • Write the model as a recursive matrix equation. • ²ind eigenvalues and eigenvectors of the coe³cient matrix. • Use the eigenvalues and eigenvectors to predict the behavior of solutions. • Use your analysis to answer questions about the model or to chose from among models. 1...
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 Fall '08
 DougBullock
 Math, Linear Algebra, Eigenvalue, eigenvector and eigenspace, Singular value decomposition, Conduct qualitative analysis

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