Problem

Isle Royale National Park is a 210-square-mile archipelago composed of a single large isla...

Isle Royale National Park is a 210-square-mile archipelago composed of a single large island and many small islands in Lake Superior. Moose arrived around 1900, and by 1930, their population approached 3000, ravaging vegetation. In 1949, wolves crossed an ice bridge from Ontario. Since the late 1950s, the numbers of the moose and wolves have been tracked.

 (a) Integrate the Lotka-Volterra equations (Section 20.6) from 1960 through 2020 using the following coefficient values: a = 0.23, b = 0.0133, c = 0.4, and d = 0.0004. Compare your simulation with the data using a time- series plot and determine the sum of the squares of the residuals between your model and the data for both the moose and the wolves.

(b) Develop a phase-plane plot of your solution.

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Solutions For Problems in Chapter 20