Main points:
• Predator-Prey model:
○ dw/dt=aw-cwr and dr/dt= -br+kwr
• The Phase Plane:
○ Graph of r and w against to see the growth of the populations
○ Phase plane = wr -plane on which the point moves
○ Phase trajectory = the path of the point
○ dr/dw=(-r+wr)/(w-wr)
• The slope field and equilibrium points
• Trajectories in the wr-phase plane
Challenges:
In the Robins and Worms example I didn't understand the meaning of the different constants. Later on the slope field and equilibrium points and their significance went just completely over my head. Similarly trajectories in the wr-phase plane proved to be something that I cannot grasp. Tomorrow's class is going to be difficult as I did not understand the topic at all.
Reflection:
I'm finding that for me spending an hour daily on mathematics is not enough. On the other hand I don’t think I can spend more time on mathematics, so I need to become somehow more efficient with my learning. I am thinking of getting some help at Max Center because preceptors are helpful but they don't seem to have the topics fresh in their mind so it always takes some time for them to remind themselves about the topic and then trying to explain it to me.
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