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Unformatted text preview: corresponding y. Why is there only one y value corresponding to x 1 ? 6. Plot G(y) over 0 < y < 6. Explain why if there is a positive value for y, then there will be two. Why is lim x inf F(x) = 0? Why is it that for large x, there are no y values and for small x, there is no such y. 7. Plot x and y as functions of t. Do they appear to be periodic? Does the period depend on the initial condition? 8. Give reasons for each step of the x integral evaluation. Evaluate the y integral yourself. Where does the point (xbar, ybar) appear? 9. Explain how the system describes the effect of fishing on the population. Plot orbits for alpha = .05. Are they still closed? Compute average selachian and food fish populations. Compare these to averages from #8. How does this result relate to the question of the last page? Graphs 2, 3, 5, 6, 7, 9...
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- Spring '11