Calculadora de Crecimiento Logístico — Fórmula

Logistic Growth Model

Formula

P(t) = K / (1 + ((K - P₀) / P₀) × e^(-rt))

Where:

  • K = carrying capacity (maximum population)
  • P₀ = initial population
  • r = intrinsic growth rate
  • t = time

    • 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.

    Ejemplo Resuelto

    Population starting at 10, carrying capacity 1000, growth rate 0.5, at time t = 10.

    1. P(10) = 1000 / (1 + 99 × e^(-5))
    2. = 1000 / (1 + 99 × 0.00674)
    3. = 1000 / (1 + 0.667)
    4. = 1000 / 1.667 ≈ 599.71