Lotka-Volterra

anypinn create my-project --template lotka-volterra

Predator-prey dynamics. Recovers predation rate β from population observations.

Problem

Two fields (prey, predator), one learnable parameter (β):

\[ \frac{dx}{dt} = \alpha x - \beta x y, \qquad \frac{dy}{dt} = \delta x y - \gamma y \]

Features Demonstrated

• FourierEncoding for capturing oscillatory solutions
• Scalar Parameter recovery
• ValidationRegistry for ground-truth comparison

Results