Systems of ODEs: Predator–Prey Cycles (Lotka–Volterra)
This lesson is part of the course
In this lesson
You step two coupled equations for hares and lynxes forward with Euler's method and chart the cycles of both populations.
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Lessons in this course
- Slope Fields: What a First-Order ODE Really Says Locked
- Euler's Method: A Coffee Cools, Step by Step vs Exact Locked
- Step Size & Error: Halving h and the Order of a Method Locked
- Heun's Method (Improved Euler): Predict, Then Correct Locked
- Runge–Kutta (RK4) by Hand: Four Slopes per Step Locked
- Systems of ODEs: Predator–Prey Cycles (Lotka–Volterra) Locked
- Second-Order ODEs as a System: The Spring–Mass–Damper Locked
- Stability & Stiff Equations: When Euler Blows Up Locked