# IVP

• February 8th 2009, 09:32 AM
razorfever
IVP
world population in 1990 was about 5.3 billion, with intrinsic growth rate r of 0.0038 per year, assume a carrying capacity K = 100 billion for the world population

(i) write down the appropriate logistic IVP for this data, with t = 0 in 1990
• February 8th 2009, 09:43 AM
Jhevon
Quote:

Originally Posted by razorfever
world population in 1990 was about 5.3 billion, with intrinsic growth rate r of 0.0038 per year, assume a carrying capacity K = 100 billion for the world population

(i) write down the appropriate logistic IVP for this data, with t = 0 in 1990

Hint: The logistic differential equation is of the form $\frac {dP}{dt} = rP \left( 1 - \frac PK \right)$