Question

2. A discrete population of Sword-billed Hummingbirds follows the logistic growth equation and is characterized by the following parameters. Estimate the population one time step into the future.

r = 0.14
N0 = 690
K = 1060

Answer 1

The population one time step into the future is 33.71886792708

The logistic growth formula is:

$\frac{dN}{dt} =r.N.\frac{(K-N)}{K}$

where:

$\frac{dN}{dt}$=Logistic Growth

r = maximum per capita growth rate of population

N = population size

K =  carrying capacity

We have

r = 0.14

N0 = 690

K = 1060

Substituting the values in the formula ,we get

$\frac{dN}{dt} =( 0.14).690.\frac{(1060-690)}{1060}\\=33.71886792708 per day$

Therefore, the population one time step into the future is 33.71886792708.

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