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}} $

Question

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}} $

Quizplus · Accepted Answer

The Answer of 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}} $

Consider the Following Lotka-Volterra System of Equations: Which of These

Consider the Following Lotka-Volterra System of Equations:

Which of These