Logistic growth model of a population (KristaKingMath)

Learn how to write a logistic growth equation that models the population over time given the initial population, the carrying capacity, and the population after one year. Then learn how to use the logistic growth equation to find the population at a given time.

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

[fourflush]

This is the only video on the entire world wide web that explained how to find k. You're awesome!

[blcmoyo]

I YOU MAN!!!!-AMAZING STRAIGHT TO THE POINT U ARR GRAATT!

[zhenyucui]

after searching for a video and article about logistic growth function for almost 4 hours, finally, here it comes. it is gonna be in my cheat sheet for the final exam tomorrow. Thank you so It really helpss me a lot

[Sagitarria]

This was fantastic. I've been trying to understand the consequences of using an equation like this versus something like the logistic map. Why a differential versus a difference equation.

[zephagwazeni]

After 9 years I'm seeing this and still finding it useful and well articulated
Thanks

[stephenhobbs]

I am hyperventilating with happiness. Someone hand me a brown paper bag. This is terrific! I have been searching the ends of the internet, cat videos and all, to find this!

[ptyptypty]

... so.. this Problem actually can explain how the carrying capacity of my brain DOES HAVE it's LIMIT when it comes to learning lots of Calculus.. :)... I still have some Capacity left... and I totally understand your wonderfully presented video. You're a Winner Krista!! thanks for all your videos and dedication to the advancement of knowledge.

[markjohnson]

great video. got my pre-calculus exam tomorrow, and this gave me just the help i needed. thank you very much.

[KevinRegalado]

Thank you
have been working on my Math Internal assessment and i felt this helped 
all in all, thanks :)

[NAYANINDRANILSENBME]

Tommorow i have a paper and this helped soooo much.... thanks a lot krista.. God bless you!!

[vannanuon]

Thank a lot for the video, but if we dont know the carrying capacity, how to find/calculate it? If you have another video about this, please kindly let me know. Thanks

[manasdhanorkar]

But what if you don't know the carrying capacity? Can you use simultaneous equations to calculate both the carrying capacity and k, given data? I am stuck...

[analyticgeometry]

This is a freaking amazing video, thank you!!

[GHXL]

Dear Krista, would it be possible to shift a bit on statistics, but more emphasis on mathematical statistics. Thank you very much.

[susanjc]

don't we have a total of 5 years ( t=5 ) when computing P(4), as we add the original 1 year to 4?

[thangmvu]

This was very informative and I'm glad I watched this today. Refreshed my memory on this topic, but I think I need more help with differential logistic equations. Do you have any videos that teach different situations that you can run into with differential logistic equations?

[danielcamiloromanquintero]

Thank you very much! Have you ever solved a modified logistic model?

[koushikgarai]

Mam what will be the number of population at maximum growth rate, will it be (10000/2)=5000....as maximum number of population i.e carrying capacity maximum growth rate will come after how many years of initial population?

[PetStuBa]

wow you are great teacher, very clear !!!

[Loveableferny]

What if you don't know the carrying capacity how would we go about? If, we need the carrying capacity how do we solve for that or is that just something already giving to you?