Parameter discover in odes

I’m new to julia. i’m working on a project where the idea is to use pinns or NODEs to approximate the parameters of the ODEs i’m describing. let me explain better, i have my ODEs and i have the measured data. i want to get to find all the parameters of my ODEs.
function lotka!(du, u, p, t)
α, β, γ, δ = p
du[1] = α * u[1] - β * u[2] * u[1]
du[2] = γ * u[1] * u[2] - δ * u[2]

For example in this equations I woul like to estimate the parameters having all the x and y value

For an overview of the SciML parameter estimation: Parameter Estimation, Bayesian Analysis, and Inverse Problems · Overview of Julia's SciML

For something simple (still part of SciML): Global Optimization via NLopt · DiffEqParamEstim.jl