A population is modeled by the logistic differential equationPP' (t) = 2P(12000What is lim+ f(t)?

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Answered: A population is modeled by the logistic…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 64RE: What is the carrying capacity for a population modeled by the logistic equation...

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Suppose that a particular plot of land can sustain 500 deer and that the population of this particular species of deer can be modeled according to the logistic model as dPdt=0.2(1P500)P. Each year, a proportion of the herd deer is sold to petting zoos. a. Find the function that gives the equilibrium population for various proportions. b. Determine the maximum number of deer that should be sold to petting zoos each year. Hint: Find the maximum sustainable harvest
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What is the carrying capacity for a population modeled by the logistic equation P(t)=250,0001+499e0.45t ? initial population for the model?

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A population is modeled by the logistic differential equation P P' (t) = 2P(1. 2000 What is lim++ f(t)? -