// multi-utility computation suite · offline · instant · precise
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sci.logistic-population-growth Calculator
Calculates the logistic growth curve N(t) = K/(1+(K/N₀−1)e^(−rt)) and inflection point where growth rate is maximum. Logistic growth is maximum at N = K/2 — at this point dN/dt = rK/4 — used to model COVID-19 wave progression, product adoption, and microbial growth in a fermenter.
Inputs
R Per Yr
Annual percentage increase. Enter as a percentage. Compound growth is exponential — small differences in rate become enormous over long periods.
K Cap
Maximum throughput or storage. Operating near 100% capacity typically increases failures and wait times.
N0
Reference formula or conversion factor shown for context.
T Yr
Duration of the process. Make sure units match the rate inputs (seconds, minutes, or hours).