Suppose the model of Exercise 22 is replaced by the
Chapter , Problem 23(choose chapter or problem)
Suppose the model of Exercise 22 is replaced by the equations dx dt 0.4xs1 2 0.000005xd 2 0.002xy dy dt 20.2y 1 0.000008xy (a) According to these equations, what happens to the insect population in the absence of birds? (b) Find the equilibrium solutions and explain their signiicance. (c) The igure shows the phase trajectory that starts with 100 birds and 40,000 insects. Describe what eventually happens to the bird and insect populations. x y 15000 100 25000 35000 45000 120 140 160 180 200 220 240 260 (d) Sketch graphs of the bird and insect populations as functions of time.
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