A phid-ladybug dynamics Populations of aphids and ladybugs are modeled by the equations (a) Find an expression
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A phid-ladybug dynamics Populations of aphids and ladybugs are modeled by the equations
(a) Find an expression for dLydA.
(b) The direction field for the differential equation in part
(b) is shown. Use it to sketch a phase portrait. What do the phase trajectories have in common?
(c) Suppose that at time t − 0 there are 1000 aphids and 200 ladybugs. Draw the corresponding phase trajectory and use it to describe how both populations change.
(d) Use part
(c) to make rough sketches of the aphid and ladybug populations as functions of t. How are these two graphs related?
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