Populations of birds and insects are modeled by the

Chapter , Problem 22

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Populations of birds and insects are modeled by the equations dx dt 0.4x 2 0.002xy dy dt 20.2y 1 0.000008xy (a) Which of the variables, x or y, represents the bird population and which represents the insect population? Explain. (b) Find the equilibrium solutions and explain their signicance. (c) Find an expression for dyydx. (d) The direction eld for the differential equation in part (c) is shown. Use it to sketch the phase trajectory correspond

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