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!
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!
A gracious thank you to my good friend Ian Johnson for helping me with the video.