DifferentialEquations.jl: a differential equations suite you might actually like

The Lotka-Voltera model:

\begin{aligned} {\frac {dx}{dt}}&=\alpha x-\beta xy,\\{\frac {dy}{dt}}&= -\delta y-\gamma xy, \end{aligned}

where,

• $x$ is the number of prey,
• $y$ is the number of predator,
• $\alpha$, $\beta$, $\gamma$, $\delta$ parameters describing the interaction between the species.

The Lotka-Voltera model:

Live!

• Ordinary differential equations (ODEs)
• Stochastic ordinary differential equations (SODEs or SDEs)
• Differential algebraic equations (DAEs)
• Delay differential equations (DDEs)
• Mixed discrete and continuous equations (Hybrid Equations, Jump Diffusions)
• ...

• Forward and adjoint local sensitivity for fast gradient computations
• SIUnits.jl
• Sensitivity analysis (global, local)
• Optimisation-based and Bayesian parameter estimation
• Automatic distributed, multithreaded, and GPU parallelism
• Neural differential equations with DiffEqFlux.jl
• ...