Logistic Growth Model Calculator

Predict population growth using the logistic model. Visualize the growth curve and understand the dynamics of population change over time.

Enter the parameters below to calculate and visualize the logistic growth.

$$ P(t) = \frac{K}{1 + (\frac{K - P_0}{P_0})e^{-rt}} $$

Initial Value (P₀)

Initial population at time zero

Carrying Capacity (K)

Maximum sustainable population

Growth Rate (r)

Rate of population increase

Time Data (t)

Comma-separated time points

Predicted Values:

Logistic Growth Curve

About Logistic Growth Model

The Logistic Growth Model describes how a population's growth rate changes when factors like limited resources come into play. Initially, growth is exponential, but as resources become scarce, the growth rate slows down, and the population size approaches a maximum limit called the carrying capacity. This model is widely used in ecology, biology, and even in business to understand growth patterns in constrained environments. Key parameters include the initial population size, the carrying capacity (the maximum sustainable population), and the growth rate.

For further reading, you can explore resources on ecological modeling and population dynamics.