Hutchinson's Equation

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

In this delayed logistic equation, is the intrinsic growth rate, is the system carrying capacity, and is the adult population size at time . The growing species, for example, Daphnia, produces an egg clutch that requires the time to become adults. Depending on the values of the parameters, the system displays equilibrium, growing oscillation, steady oscillation, or decaying oscillation. Each of these behaviors can be correlated with the formation of attractors as seen in the phase diagram.

Contributed by: Benson R. Sundheim (August 2011)
Open content licensed under CC BY-NC-SA




Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.