Question

Consider the following predator-prey system: dx/dt = 2x(1 - x/8) - xy dy/dt = - 6y + xy (a) Find all equilibrium points of the system: (Enter as ordered pairs separated by commas) (x, y) = (b) We'll use a CalcPlot3D direction field to help answer this part. 1. Click the link and the check the boxes 'Restrict to view to 2D' and 'Show systems of DEs notation'. Right-click on the graph and hold to move the graph to a good viewing location. 2. Left-click on the direction field to plot the solution in the phase plane starting at that point when t = 0. Does a solution that starts in the 1st quadrant, off the coordinate axes, approach an equilibrium point? No Yes (c) In the absence of predators (y = 0) the prey population experiences what type of growth? exponential growth logistic growth

          Consider the following predator-prey system:
dx/dt = 2x(1 - x/8) - xy
dy/dt = - 6y + xy
(a) Find all equilibrium points of the system:
(Enter as ordered pairs separated by commas)
(x, y) =
(b) We'll use a CalcPlot3D direction field to help answer this part.
1. Click the link and the check the boxes 'Restrict to view to 2D' and 'Show systems of DEs notation'. Right-click on the graph and hold to move the graph to a good viewing location.
2. Left-click on the direction field to plot the solution in the phase plane starting at that point when t = 0.
Does a solution that starts in the 1st quadrant, off the coordinate axes, approach an equilibrium point?
No
Yes
(c) In the absence of predators (y = 0) the prey population experiences what type of growth?
exponential growth
logistic growth

Consider the following predator-prey system:
dx/dt = 2x(1 - x/8) - xy
dy/dt = - 6y + xy
(a) Find all equilibrium points of the system:
(Enter as ordered pairs separated by commas)
(x, y) =
(b) We'll use a CalcPlot3D direction field to help answer this part.
1. Click the link and the check the boxes 'Restrict to view to 2D' and 'Show systems of DEs notation'. Right-click on the graph and hold to move the graph to a good viewing location.
2. Left-click on the direction field to plot the solution in the phase plane starting at that point when t = 0.
Does a solution that starts in the 1st quadrant, off the coordinate axes, approach an equilibrium point?
No
Yes
(c) In the absence of predators (y = 0) the prey population experiences what type of growth?
exponential growth
logistic growth

Added by Thomas L.

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