Lotka–Volterra (Phase Plane)
This interactive simulator explores Lotka–Volterra in Math Visualization. N′ = αN−βNP, P′ = δNP−γP; phase plane RK4; equilibrium dot. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.
Who it's for: Best once you already know the basic definitions and want to build intuition. Typical context: Math Visualization.
Key terms
- lotka
- volterra
- lotka volterra
- math
- visualization
How it works
**Predator–prey** caricature: **dN/dt = αN − βNP**, **dP/dt = δNP − γP**. Interior equilibrium **(N*, P*) = (γ/δ, α/β)**. Trajectories in the **(N, P)** plane are **closed** curves around it for this model (no logistic prey cap here). **RK4** integration; **red dot** marks **(N*, P*)**.
Key equations
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