Question

Asked Feb 10, 2019

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(5) Let p(t) denote the population of the Earth in the year t. According to

the internet, p(2017) = 7.55 billion. According to the lecture on population

growth, it is reasonable to assume that

dp/dt = kp − λp2

with k = 0.029, λ = 2.695 × 10−12. Assuming all of this is true, answer the

following questions:

(a) What will be the Earth’s population in 2030?

(b) When “will” (or has it happened already?) the growth rate of the

Earth’s population begin to decrease?

(c) When did God create man? (That is: When were Adam and Eve

the only two people on Earth? You will note that no major “religious

mythology” offers a figure as implausible as the one you will compute

from this model...)

Step 1

The differential equation for population growth is given.

Step 2

By solving this differential equation, we will get the expression for population in year *t*.

Step 3

Population in 2017 is...

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