Predator-Prey Model (Lotka-Volterra equations)

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  • Опубликовано: 9 янв 2025

Комментарии • 34

  • @tiagogait
    @tiagogait 3 года назад +8

    Hell yah I'm gonna hit the thumb up. You explained way better in 8 min than my Differential Equations teacher did in 18 min. Thanks

  • @haydenprouty7555
    @haydenprouty7555 5 лет назад +19

    YOU are writing BACKWARDS.... Impressive!

    • @xornchaoroy4613
      @xornchaoroy4613 4 года назад +1

      i believe he did a normal writing which issss backword to us but normal to him then mirrored it from middle line then it looks normal to us

    • @raxacorico2316
      @raxacorico2316 4 года назад

      @@xornchaoroy4613 But if that were true, then the writing would be on the left side of the screen and not the right one, correct?

    • @gabrieljordan352
      @gabrieljordan352 3 года назад

      i know Im kinda off topic but do anybody know a good place to stream newly released movies online?

    • @ignacioleonardo8500
      @ignacioleonardo8500 3 года назад

      @Gabriel Jordan Try flixzone. Just google for it =)

    • @roccoleland891
      @roccoleland891 3 года назад

      @Gabriel Jordan I would suggest Flixzone. You can find it on google =)

  • @lowerbound4803
    @lowerbound4803 Год назад +1

    Very well-explained. Thanks for sharing, brother.

  • @archillect1472
    @archillect1472 2 года назад

    Just what I need and you deliver, man you are brilliant!

  • @kaihan3ds662
    @kaihan3ds662 2 месяца назад

    can you explain in more details exactly what the different constants represent? i didnt quite understand that part

  • @XplosiveAction
    @XplosiveAction 2 года назад +2

    Is there a good way to actually find the parameters alpha, Beta, etc… online for a pair of predator and prey? I’ve tried searching for over an hour and couldn’t find anything that’s just a table of values more or less. Every video and article just brings up this equation but not the method to actually obtaining the parameters and how to model it

  • @chloemarielle1291
    @chloemarielle1291 3 года назад +1

    doing god's work, THANK YOU

  • @roshan_codes
    @roshan_codes 2 года назад

    Really amazing explanation.

  • @ramavenki2693
    @ramavenki2693 3 года назад +2

    The delta factor must be negative sign. Otherwise how will it depict decreasing predator population when prey = 0?

    • @mdal-amin_ku
      @mdal-amin_ku 2 года назад

      This is a case that for here in the abscence of another both increase exponentially

  • @ishfaqahmad8495
    @ishfaqahmad8495 5 лет назад +5

    Dear professor you explained it well but I got a point why you put positive sign in the predator eqquation if there is no prey so i think the growth rate will go decline I mean negative sign there should be instead of positve sign

    • @EndlessEngineering
      @EndlessEngineering  5 лет назад

      The predator population will grow in size by feeding on the prey, the positive sign indicates that the more the predator interacts with the prey population they feed and grow in size

    • @spellweavergeneziso
      @spellweavergeneziso 5 лет назад

      @@EndlessEngineering Yes, but more eating means less prey after the act of eating, thus next time Predators will be hungry, there will be less prey to eat, so some Predators will die
      The guy above is right, and we also have this written as he says in our school documents.
      - delta * Y
      More predators you have, less food they get, leading to decrease in predators after time as they have insufficient food
      If your equations were right and lets say we talk about wolves and sheep, wolves would eventually eat out all the sheep, gets overpopulated and then they would all die because they would have eaten all the sheep before, but this is not how it works. Both populations amounts are correlated.

    • @EndlessEngineering
      @EndlessEngineering  5 лет назад +3

      @@spellweavergeneziso Thank you for the clarification of the question. Yes you are right, the equation could be written as -delta * Y. But I did not assume that delta would be a positive constant, it could be negative in the equation that I wrote.
      This is a good discussion, and I thank you both for pointing this out. You are both correct that if the predator had a positive rate of growth as a function of its size it will overpopulate.

    • @bairuan298
      @bairuan298 4 года назад +1

      @@EndlessEngineering aha this is so funny, dude just admit ur wrong. If u didn't assume that the constants were positive why would u bother making the rate of deaths in the prey equation negative.

  • @mathopieacademy8229
    @mathopieacademy8229 2 года назад

    For interactions why we use x.y why we not like as x.y^2,x^2.y ...etc

  • @emilym2676
    @emilym2676 3 года назад

    Is there a way to create a function based on what happens when the predator reaches a carrying capacity due to competition for remaining prey and disease? Is there a way to adapt these more simplified functions to model that regulation?

    • @EndlessEngineering
      @EndlessEngineering  3 года назад

      Hey Emily. I am not aware of a method to do that, but I imagine it would be through building a model of how the rate of predation (encounter) changes in events like disease and other factors

  • @user-gy9fd9hc7q
    @user-gy9fd9hc7q Год назад +1

    감사합니다.

  • @mohammadferdous1457
    @mohammadferdous1457 6 лет назад

    good job 👍🏼

    • @EndlessEngineering
      @EndlessEngineering  6 лет назад

      Thank you! Glad you enjoyed it, and thanks for watching! Feel free to check out our other videos and please subscribe to the channel to get updates on our new videos.

  • @MrSlovanprofessor
    @MrSlovanprofessor 3 года назад

    the predator equation is in opposite: xy - y

  • @kademmohammed6836
    @kademmohammed6836 5 лет назад

    I wish you made an example about system that behaves like that

    • @EndlessEngineering
      @EndlessEngineering  5 лет назад +1

      Hi Kadem, Thanks for your comment. The goal of this video was just to show how modeling can take on different forms, upcoming videos will deal with examples on systems that behave like this one or in a similar way.