A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Let y(t) be the population of certain species at time t. (a). Write down the logistic equation that describes the dynamics of the population, assuming an environmental carrying capacity K and an intrinsic growth rate r. (b). Solve the equation for y(t) if K = 1000 and r = 0:1 per year. (c). How long does it take for the population to be doubled if the initial population is 100

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    (a) This is somewhat vague, and includes more variables than the parameters, but it's what I remember from partial fraction integration:\[y(t) = K/(A-Ce^{-rt})\] where A and C are constants.

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The exam review actually says that the answer to (a). is dy/dt = ry(1-(y/k)) and the answer to (b) is 1000C/(e^(-0.1t) - C) while (c) is 8.1 years I'm trying to figure out how to go about actually doing it.. but I can't find a decent enough explanation anywhere. Ahh I'm in trouble for this test.

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Basically what the review says and what I said are essentially the same, but I gave it in a solved form; it was asking for the "dynamics" or the equation stating the rate of change. You want to look up "Integrating by Partial Fractions" if solving the differential equation is difficult.

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'll try that, thanks.

  5. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.