I feel this pain Mine doesn’t understand that incomplete worksheets aren’t lecture notes and his handwriting is worse than any doctor’s I encountered in 10 years of pharmacist practice before going into engineering
Thank you my friend. Currently studying to enter into grad school for Quantitative Bio. The journey has been challenging but it is people like you who make the challenge seem surmountable... and loads of fun! Please make others! Perhaps SIR model of disease transmission, Levins meta-population model, Tillman's model of resource competition, or Holling's disc equation. Best wishes fellow nerds!
That is the case here, but it can't be guaranteed in general. Because we have linearised the system, we're ignoring any higher order terms. Have a look at what happens in the example dx/dt = y, dy/dt = y^3 - x.
![The Most Useful Curve in Mathematics [Logarithms]](/img/n.gif)
A professor from a reputed institute taught us this in class in the most time confusing, complicated way. Thank you for simplifying it
Was it Berkeley
I feel this pain
Mine doesn’t understand that incomplete worksheets aren’t lecture notes
and his handwriting is worse than any doctor’s I encountered in 10 years of pharmacist practice before going into engineering
Likely the best video on introductory Predator-Prey models!
This is one of the best explanations ive seen! Keep doing what your doing!
Thank you my friend. Currently studying to enter into grad school for Quantitative Bio. The journey has been challenging but it is people like you who make the challenge seem surmountable... and loads of fun! Please make others! Perhaps SIR model of disease transmission, Levins meta-population model, Tillman's model of resource competition, or Holling's disc equation. Best wishes fellow nerds!
Thank you for sharing this videos.
Looking forward to watching "Phase planes" videos!
how do you show the ODE's existance and uniqueness?
Awesome!!!!!!!!!! Thank you
Isn't the fact that the eigenvalues have no real component enough to determine that the trajectories don't spiral in or out?
That is the case here, but it can't be guaranteed in general. Because we have linearised the system, we're ignoring any higher order terms. Have a look at what happens in the example dx/dt = y, dy/dt = y^3 - x.
@@exploringmaths9336 OK thanks - I wasn't thinking of that.
Excellent
Amazing
nice video
can you provide me these slides ?
👍