Logistic population growth
Logistic population growth: use initial population, carrying capacity, growth rate. Review the formula, worked example and calculation steps.
Inputs
Use the units shown—
Enter your values and select Calculate.
Formula & explanation
N(t) = K/[1+(K/N₀−1)exp(−rt)]
Variables & units
- Initial population
- Numeric value · minimum 0.000001, maximum 1000000000000
- Carrying capacity
- Numeric value · minimum 0.000001, maximum 1000000000000
- Growth rate
- 1/time · minimum -100, maximum 100
- Time
- time units · minimum 0, maximum 1000
Worked example
Use the example inputs to explore this model; the solution shows each supplied quantity.
Assumptions
Fixed carrying capacity and growth rate, with initial population at or below capacity.
Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.
Practice with an example
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