A population of deer contains 10 000 individuals. During a year, 5000 individuals are born and 4500 die. What will be the size of the population 10 years from now?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.EA: Extended Application Managing Renewable Resources
Problem 1EA: Suppose that a particular plot of land can sustain 500 deer and that the population of this...
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The first question is Geometric growth, the second is
logistics. Answer both please.
2. A population of deer contains 10 000 individuals. During a year, 5000 individuals
are born and 4500 die. What will be the size of the population 10 years from now?
Logistic Growth
dN = rmaxN (K-N)
dt
dN =
Imax =
K
dt
N =
K =
1. A population is growing continuously. The carrying capacity of the environment is
1000 individuals and its maximum growth rate, rmax, is 1.00. Determine the
population growth rates based on a population size of 20, 200, 500, 900, 990, and
1000.
Transcribed Image Text:The first question is Geometric growth, the second is logistics. Answer both please. 2. A population of deer contains 10 000 individuals. During a year, 5000 individuals are born and 4500 die. What will be the size of the population 10 years from now? Logistic Growth dN = rmaxN (K-N) dt dN = Imax = K dt N = K = 1. A population is growing continuously. The carrying capacity of the environment is 1000 individuals and its maximum growth rate, rmax, is 1.00. Determine the population growth rates based on a population size of 20, 200, 500, 900, 990, and 1000.
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