(a) Find the ratio of the amplitudes of the oscillations
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(a) Find the ratio of the amplitudes of the oscillations of the prey and predator populations about the critical point (
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(a) Find the ratio of the amplitudes of the oscillations of the prey and predator populations about the critical point (c??, a??), using the approximation (22), which is valid for small oscillations. Observe that the ratio is independent of the initial conditions. (b) Evaluate the ratio found in part (a) for the system (2). (c) Estimate the amplitude ratio for the solution of the nonlinear system (2) shown in Figure 7.4.3. Does the result agree with that obtained from the linear approximation? (d) Determine the prey
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