Yo! So I wrote a program to visualize the Lotka-Volterra predator prey model after I wrote a post explaining how it is derived and how to analyze it. I wanted to show it off a little bit and also explain how it can help to understand what is actually going on with the model.
So here it is. I hope this demystifies phase planes and systems of ODE’s for someone!
Clarification
For the sake of clarity I wanted to point out misquotes I made in the video…
- at 5:07 “The beach bums start dying over time” should be “the koalas start dying over time”
- at 5:34 “Unstable center point” should be “Unstable saddle point”
Sorry, I hope these didn’t confuse anyone too much.
Check it Out Yourself
Again, if anyone wants to take a look at my code, please feel free. I have it posted in my github repository.
Let me know if you have any questions!
Shout outs
A gracious thank you to my good friend Ian Johnson for helping me with the video.
I hope people are telling you how useful this is. I have to teach a “demonstration lecture” tomorrow to get a teaching gig, and they told me to give 15 minutes on predator prey. You are my primary source!
I really appreciate the kind words Jessica! It’s nice to get some feedback from time to time, it’s motivational and makes me want to keep making posts. I’m glad you found it helpful, and I hope you do great at your interview!