To model the interaction btwn two different populations, 2 differential eqns are needed. In a predator-prey situation. the pops are both effect by the size of themself and each other.
A phrase plane is where the two varriables move with respect to a 3rd variable. The Phase trajectory is the path of a point
Challenges
If there are three variables, why can't a contour diagram be used? I don't understand how you actually graph or model the eqns.
Reflection
I think this is a very interesting topic. The idea that a graph can actually show motion, as opposed to just suggesting it (like how a straight line shows change over time), is really cool, almost 3-d. The models look like diagrams and are therefore easier to comprehend readily.
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