The percentage growth rate would the population show in the absence of constraints is 22%
A logistic model is modeled by the function
N = K/1+be^rt
where, the constant k represents carrying capacity,
the constant b is formed by b = k/n(o) - 1
the value of r will be the intrinsic exponential growth rate and t represent time.
⇒ If there is no limiting factors, then the logistic model would be exponential according to formula:
N = N(0)e^rt
Since the corresponding growth factor for this exponential function is a = e^r
so the variable r can be obtained from a using :
r = ln a
a = e^r
given r= 0.2
a = ?
a = e°·²
a = 1.221
a = 1.22
⇒ 1.22 - 1 = 0.22
0.22×100 = 22%
Hence we get the percentage growth as 22%.
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