Logistic Growth Calculator
Model logistic (S-curve) growth with a carrying capacity. Used for population modeling.
Population
599.86
Pct Capacity60.0 %
Inflection T9.19
Logistic Growth Model
Formula
P(t) = K / (1 + ((K - P₀) / P₀) × e^(-rt))
Where:
S-Curve
Logistic growth starts exponentially, slows as it approaches the carrying capacity, and levels off. The inflection point (fastest growth) occurs at P = K/2.
Example Calculation
Population starting at 10, carrying capacity 1000, growth rate 0.5, at time t = 10.
- 01P(10) = 1000 / (1 + 99 × e^(-5))
- 02= 1000 / (1 + 99 × 0.00674)
- 03= 1000 / (1 + 0.667)
- 04= 1000 / 1.667 ≈ 599.71
Frequently Asked Questions
Learn More
How to Calculate Percentages - Complete Guide
Learn how to calculate percentages step by step. Covers finding a percentage of a number, percentage change, reverse percentages, and real-world applications.