Analysis for a Competition Model

Session 9: This session uses Maple to perform a standard analysis of a two dimensional system of differential equations. The techniques developed below show numerical simulation of the differential equation, nullcline analysis, equilibrium analysis, and local linear analysis about the equilibria. The mathematical ideas include Maple's ability to simulate differential equations, solve systems of nonlinear equations, and finding eigenvalues and eigenvectors for 2-D systems. The Maple sheet is available as usual.

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