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lotka-volterra - Model predator-prey and competition dynamics

Analyzes two-species predator-prey and competition systems with coupled differential equations, equilibria, nullclines, stability, and parameter fitting.

Tags

Updated: 2026-10-04
ecologypopulation dynamicspredator-preyspecies competitionordinary differential equationsphase-plane analysis

Capabilities

Solve coupled ODE systemsCalculate equilibrium pointsCompute phase-plane nullclinesFit model parameters

Typical Inputs

Model typeInitial conditionsTime points

Typical Outputs

Population trajectory arraysEquilibrium point listsNullcline data

What this skill does

  • Solve coupled ODE systems
  • Calculate equilibrium points
  • Compute phase-plane nullclines
  • Fit model parameters
  • Assess coexistence outcomes

Inputs

  • Model type
  • Initial conditions
  • Time points
  • Model parameters
  • Population observations
  • Initial parameter guesses
  • Nullcline range

Outputs

  • Population trajectory arrays
  • Equilibrium point lists
  • Nullcline data
  • Fitted parameter values
  • Coexistence analysis results

Requirements

  • Python environment
  • NumPy
  • SciPy
  • Matplotlib

Source

  • Spec: SKILL.md

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