Population growth equation

JackF90000 jackf90000 at aol.com
Sun Sep 17 19:01:18 EST 1995

The "basic" exponential growth equation is the solution to the
differential equation:
     dx/dt = k x(t)
 which says the rate of change of x(t) is proportional to x(t), where x(t)
is taken to be the population size at time t.
   The solution  is:
     x(t) = k1 exp(-k2 t)
     the constants k1 & k2 depend on K an the initial population size at
time t=0.
 For more on population, get the book "[I can't remember the title,
something like"Introduction to Population Genetics"] by Crow & Kimura.

For the binary fission problem, Suppose that at the population size
doubles every generation:
    N(1) = 2* No
    N(2) = 2* N(1) = 2*2*No
    N(k) = 2**k * No

Does this help?


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