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Q1: Suppose that x, y evolve according to the ODE d dtx = α(y − x) d dty = f(y) − x (1) where f(y) is a specified smooth function and α > 0 is a real parameter. (a) Find all equilibria for this ODE and determine ...
. Consider a model for the dynamics of two interacting species given by the following system of ordinary differential equations du dt = a − (b + 1)u + u γ v, dv dt = bu − u γ v, u(0) = u 0 > 0, v(0) = v 0 > 0, where a, b, ...
