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Predator-Prey Population Models || Lotka-Volterra Equations 

Exploring Maths
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An introduction to the Lotka-Volterra population models and analysing their solutions in the phase plane.

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5 сен 2024

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Комментарии : 17   
@shivamchatterjee2714
@shivamchatterjee2714 11 месяцев назад
A professor from a reputed institute taught us this in class in the most time confusing, complicated way. Thank you for simplifying it
@LiaGabrielaFloresPalacios
@LiaGabrielaFloresPalacios 4 месяца назад
Was it Berkeley
@BirnieMac1
@BirnieMac1 4 месяца назад
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
@EccentricTuber
@EccentricTuber 7 месяцев назад
Likely the best video on introductory Predator-Prey models!
@healwithflowers
@healwithflowers 6 месяцев назад
This is one of the best explanations ive seen! Keep doing what your doing!
@CharlesLampman
@CharlesLampman 4 месяца назад
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!
@bornagain83
@bornagain83 4 месяца назад
Thank you for sharing this videos. Looking forward to watching "Phase planes" videos!
@godfreypigott
@godfreypigott 3 месяца назад
Isn't the fact that the eigenvalues have no real component enough to determine that the trajectories don't spiral in or out?
@exploringmaths9336
@exploringmaths9336 3 месяца назад
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.
@godfreypigott
@godfreypigott 3 месяца назад
@@exploringmaths9336 OK thanks - I wasn't thinking of that.
@demehingbenga6198
@demehingbenga6198 Год назад
Awesome!!!!!!!!!! Thank you
@user-ki6lg3zz8t
@user-ki6lg3zz8t 11 месяцев назад
how do you show the ODE's existance and uniqueness?
@muhammadsuleman670
@muhammadsuleman670 Год назад
Excellent
@tamalbhattacharjee8384
@tamalbhattacharjee8384 Год назад
Amazing
@ramkeval2009iitr
@ramkeval2009iitr Год назад
nice video
@Tayyab_raza
@Tayyab_raza 6 месяцев назад
can you provide me these slides ?
@choarier3068
@choarier3068 Год назад
👍
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