Solved: Populations of birds and insects are modeled by the equations (a) Which of the

Chapter 9, Problem 22

(choose chapter or problem)

Populations of birds and insects are modeled by the equations (a) Which of the variables, or , represents the bird population and which represents the insect population? Explain.(b) Find the equilibrium solutions and explain theirsignificance.(c) Find an expression for .(d) The direction field for the differential equation in part (c) isshown. Use it to sketch the phase trajectory correspondingto initial populations of 100 birds and 40,000 insects. Thenuse the phase trajectory to describe how both populationschange.(e) Use part (d) to make rough sketches of the bird and insectpopulations as functions of time. How are these graphsrelated to each other?