Suppose the model of Exercise 20 is replaced by the equations dx dt 0.4xs1 2 0.000005xd
Chapter 7, Problem 21(choose chapter or problem)
Suppose the model of Exercise 20 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 significance. (c) The figure shows the phase trajectory that starts with 100 birds and 40,000 insects. Describe what eventually happens to the bird and insect populations.
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