The population of the world was about 5.3 billion in 1990. Birth rates in the 1990s ranged from 35 to 40 million per year and death rates ranged from 15 to 20 million per year. Lets assume that the carrying capacity for world population is 100 billion.
a) Write the logistic differential eq. for these data. (because the initial pop is small compared to the carrying capacity, you can take k to be an estimate of the initial relative growth rate).
b) use the logistic model to estimate the world population in the year 2000 and compare with the actual population of 6.1 billion.
c) Use the logistic model to predict the world population in the years 2100 and 2500.
d) What are your predictions if the carrying capacity is 50 billion?
show work/steps plz..thanks!
2007-12-09 04:12:15 · 1 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Since you are dealing with populations and carrying capacity, I assume you are concerned with the Verhulst equation:
http://en.wikipedia.org/wiki/Logistic_curve#The_Verhulst_equation
This has three parameters:
P0 - the initial population
K - the carrying capacity
r - the initial growth rate
You have all of these and so can just substitute and do your computations.
2007-12-11 17:22:19 · answer #1 · answered by simplicitus 7 · 0⤊ 0⤋