Practice DE Modeling for Rhinoceros Population

  • Thread starter Thread starter HeLiXe
  • Start date Start date
  • Tags Tags
    Modeling
Click For Summary
The discussion focuses on modeling the rhinoceros population using differential equations, emphasizing the need for a model that accounts for both population growth and the challenges of mating when the population is too small. The initial model proposed is dP/dt = kP, but adjustments are suggested to incorporate a threshold parameter (g) that reflects the minimum population necessary for successful mating. A piecewise function is discussed to represent population dynamics, indicating that if the population falls below g, growth becomes negative. Participants also explore the relationship between population density and growth rate, considering how to visualize the model through graphs. The conversation highlights the iterative nature of modeling, where adjustments are made based on observations and calculations.
  • #61
I like Serena said:
Btw, will you let us know how your chem test went?
Hi ILS :biggrin:
Just wanted to let you know I finally got my grades back in for my chem exams and I got A's on all of them (including the final). I missed one question on each one grrrr.
I like Serena said:
Aaaah, so that's what the remark about the S-word was about! :smile:
So S-problems are more of a challenge for you?
unfortunately yes -_- and it leads many to think I am terribly stupid lol

I like Serena said:
Well... errr... yes... the picture of your work was quite good... but... I can only say..

More! More! More! :biggrin:
OK starting it now...I hope we're still friends :biggrin: That night when I got back the chem teacher sent out an e-mail about an extra credit assignment and so I got to that right away...and lately my brain can only handle one of the "heavy things" at a time. I hope that gets better soon -_-

I also might be asking some questions about eigenvectors and the trace coordinate plane for 2 dimensions...I think I'm following the 3-D stuff, but the 2-D stuff is a little confusing with the saddles and spirals and all of this stuff on the same graph as a parabola...and a line or something I have no idea what's going on...I cannot visualize what my prof is trying to convey.
 
Physics news on Phys.org
  • #62
HeLiXe said:
Hi ILS :biggrin:
Just wanted to let you know I finally got my grades back in for my chem exams and I got A's on all of them (including the final). I missed one question on each one grrrr.

Congratulations! :smile:



HeLiXe said:
OK starting it now...I hope we're still friends :biggrin: That night when I got back the chem teacher sent out an e-mail about an extra credit assignment and so I got to that right away...and lately my brain can only handle one of the "heavy things" at a time. I hope that gets better soon -_-

I also might be asking some questions about eigenvectors and the trace coordinate plane for 2 dimensions...I think I'm following the 3-D stuff, but the 2-D stuff is a little confusing with the saddles and spirals and all of this stuff on the same graph as a parabola...and a line or something I have no idea what's going on...I cannot visualize what my prof is trying to convey.

Oh, friendship does not depend on doing homework or not. :wink:

Perhaps I'll be able to confuse you some more with eigenvectors, saddles, spirals, and stuff like that! o:)
 
  • #63
I like Serena said:
Congratulations! :smile:
Thank you!
I like Serena said:
Oh, friendship does not depend on doing homework or not. :wink:
:biggrin:
I like Serena said:
Perhaps I'll be able to confuse you some more with eigenvectors, saddles, spirals, and stuff like that! o:)
Yes you will see some stuff from me in the near future. And my chem class is ended I am just waiting on the final grade.

I got g(1-g)/ce^kt = P...I was trying to put it in laTex but could not get the t to stay in the denominator as an exponent. I am working on the derivative now.
 
  • #64
HeLiXe said:
I got g(1-g)/ce^kt = P...I was trying to put it in laTex but could not get the t to stay in the denominator as an exponent. I am working on the derivative now.

Did you try to use curly thingies in LaTeX?
That's what is used to group stuff together.
 
  • #65
I did this
{\frac{g(1-g)}{c e^{kt}}} = P
 
  • #66
-_- ok it seems it worked lol
 
  • #67
Good! :smile:
 
  • #68
Did you finish the derivative?
And did it match the DE?
 
  • #69
Yes but I need to recheck it. It matched ... but I still wonder if I made an error lol.
 
  • #70
Show your work?
I got a different solution...
(Perhaps I made a mistake! )
 
  • #71
I get a different solution too.
 
  • #72
I like Serena said:
Show your work?
I got a different solution...
(Perhaps I made a mistake! )

>_> I highly doubt you made a mistake. I will post my work a little later... right now I think I will start something on eigenvectors and the trace determinant plane as I have an exam on it tomorrow.
Redbelly98 said:
I get a different solution too.

Yikes! This means my calculus skills are just as bad as my DE skills -_- or maybe it's my algebra lol. I will post what I did later.
 
  • #73
HeLiXe said:
>_> I highly doubt you made a mistake. I will post my work a little later... right now I think I will start something on eigenvectors and the trace determinant plane as I have an exam on it tomorrow.

I'm only a lowly practitioner of science... and does that mean you'll be starting new threads? :)
 
Last edited:
  • #74
lol yes hopefully -_- I'm really happy that you guys are so patient with me. I'm having a really rough time this semester.
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 10 ·
Replies
10
Views
6K
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
13
Views
3K
  • · Replies 1 ·
Replies
1
Views
7K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
17
Views
4K
  • · Replies 23 ·
Replies
23
Views
4K