ParameterizedFunctions.jl

ParameterizedFunctions.jl is a component of the SciML ecosystem which allows for easily defining parameterized ODE models in a simple syntax.

Tutorials and Documentation

For information on using the package, see the stable documentation. Use the in-development documentation for the version of the documentation, which contains the unreleased features.

Example

The following are valid ODE definitions.

using DifferentialEquations, ParameterizedFunctions

# Non-Stiff ODE

lotka_volterra = @ode_def begin
    d🐁 = α * 🐁 - β * 🐁 * 🐈
    d🐈 = -γ * 🐈 + δ * 🐁 * 🐈
end α β γ δ

p = [1.5, 1.0, 3.0, 1.0];
u0 = [1.0; 1.0];
prob = ODEProblem(lotka_volterra, u0, (0.0, 10.0), p)
sol = solve(prob, Tsit5(), reltol = 1e-6, abstol = 1e-6)

# Stiff ODE

rober = @ode_def begin
    dy₁ = -k₁ * y₁ + k₃ * y₂ * y₃
    dy₂ = k₁ * y₁ - k₂ * y₂^2 - k₃ * y₂ * y₃
    dy₃ = k₂ * y₂^2
end k₁ k₂ k₃

prob = ODEProblem(rober, [1.0, 0.0, 0.0], (0.0, 1e5), [0.04, 3e7, 1e4])
sol = solve(prob)