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6. Another model for population growth is the logistic model. This model assumes that
there is a maximum population, also known as a carrying capacity, and that the rate
of population growth slows as the population approaches the carrying capacity. The
variables for a logistic model are deﬁned below.
• t  time, the number of years since July 1, 1965
• P(t)  the population at time t in billions of people
• P0  the population at time t = 0 in billions of people
• M  the maximum population or carrying capacity in billions of people
• k  a constant
The logistic model for population growth is given by:
P(t) =MP0 / P0 + (M − P0)e^−kt
The human carrying capacity of the earth is a very controversial subject. According to
Joel E. Cohen, estimates for the human carrying capacity of the earth have ranged from
less than 1 billion to more than 1 trillion people. Cohen states,”Such estimates deserve
the same profound skepticism as population projections” [1]. With the understanding
that estimates for human carrying capacity warrant skepticism, let us consider the
implications of a carrying capacity of 12 billion people. (Cohen calculated the median
of 65 upper bounds on human carrying capacity to be 12 billion people [1].)
Assuming that the human carrying capacity of the earth is 12 billion people, ﬁnd a
logistic model for the world population using the data that you found in question 2.
 2 years ago
 2 years ago
6. Another model for population growth is the logistic model. This model assumes that there is a maximum population, also known as a carrying capacity, and that the rate of population growth slows as the population approaches the carrying capacity. The variables for a logistic model are deﬁned below. • t  time, the number of years since July 1, 1965 • P(t)  the population at time t in billions of people • P0  the population at time t = 0 in billions of people • M  the maximum population or carrying capacity in billions of people • k  a constant The logistic model for population growth is given by: P(t) =MP0 / P0 + (M − P0)e^−kt The human carrying capacity of the earth is a very controversial subject. According to Joel E. Cohen, estimates for the human carrying capacity of the earth have ranged from less than 1 billion to more than 1 trillion people. Cohen states,”Such estimates deserve the same profound skepticism as population projections” [1]. With the understanding that estimates for human carrying capacity warrant skepticism, let us consider the implications of a carrying capacity of 12 billion people. (Cohen calculated the median of 65 upper bounds on human carrying capacity to be 12 billion people [1].) Assuming that the human carrying capacity of the earth is 12 billion people, ﬁnd a logistic model for the world population using the data that you found in question 2.
 2 years ago
 2 years ago

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mariomintchevBest ResponseYou've already chosen the best response.2
Question 2) The world population on July 1, 1965 was 3.3 billion. On July 1, 1970 the population increased to 3.7 billion.
 2 years ago

mariomintchevBest ResponseYou've already chosen the best response.2
The rate of change is 0.08 billion per year.
 2 years ago

mariomintchevBest ResponseYou've already chosen the best response.2
Those are my answers to question 2 not the actual question. I gave them to you to help solve question 6 (this question).
 2 years ago

mariomintchevBest ResponseYou've already chosen the best response.2
@amistre64 @AccessDenied @brainshot3 @Callisto @EarthCitizen @jhonyy9 @Luis_Rivera @MelindaR @Mertsj @robtobey @sasogeek
 2 years ago

brainshot3Best ResponseYou've already chosen the best response.0
Looks like a type of differential equation problems. dy/dy=ky where k is a constant.
 2 years ago
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