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Consider the Following Lotka-Volterra System of Equations:

Which of These

Question 52

Multiple Choice

Consider the following Lotka-Volterra system of equations:
 Consider the following Lotka-Volterra system of equations:   Which of these statements are true? Select all that apply. A)  The solution trajectories all spiral away from the point   \left(-\frac{4}{5},-\frac{3}{2}\right)    as   t \rightarrow \infty   B)  The solution trajectories are closed curves encircling the point   \left(\frac{4}{5}, \frac{3}{2}\right)   . C)  The point   \left(\frac{3}{2}, \frac{4}{5}\right)    is an unstable node. D)  The predator and prey populations exhibit a cyclic variation. E)  The origin is a saddle point. F)  The period of the solution trajectories is   \frac{2 \pi}{\sqrt{6.0}}
Which of these statements are true? Select all that apply.


A) The solution trajectories all spiral away from the point (45,32) \left(-\frac{4}{5},-\frac{3}{2}\right) as t t \rightarrow \infty
B) The solution trajectories are closed curves encircling the point (45,32) \left(\frac{4}{5}, \frac{3}{2}\right) .
C) The point (32,45) \left(\frac{3}{2}, \frac{4}{5}\right) is an unstable node.
D) The predator and prey populations exhibit a cyclic variation.
E) The origin is a saddle point.
F) The period of the solution trajectories is 2π6.0 \frac{2 \pi}{\sqrt{6.0}}

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