Practice DE Modeling for Rhinoceros Population

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Homework Help Overview

The discussion revolves around modeling the population dynamics of rhinoceroses using differential equations. The original poster seeks practice in this area, particularly focusing on how to account for population size and mating challenges in their model.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss defining variables and constants, with initial attempts at formulating a basic population growth model. Questions arise about incorporating a threshold population size for mating and how to express this in the model. Some suggest considering density functions and graphing the relationships.

Discussion Status

The conversation is ongoing, with participants providing feedback on each other's modeling attempts. There is a focus on refining the model and addressing potential flaws in the initial graphs presented. Guidance is offered regarding the relationship between population and growth rate, and participants express interest in further exploration of the topic.

Contextual Notes

Participants mention constraints such as the need to relate parameters to density functions and the challenge of avoiding infinite growth in the model. There are also references to external commitments, such as studying for exams, which may affect participation.

  • #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.
 
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  • #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.
 

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