Data fitting programming Math 371
This project explores improving parameter estimation and data fitting for a predator-prey model. Using the estimated parameters from optimization techniques, we run simulations with ODE solvers (ode23 and ode45) to compare model outcomes with actual data points. While the initial results show reasonable fits, we seek a better approach for accuracy. By employing the direct least-squares method, we can achieve nearly perfect data fitting for the underlying model. The implementation details and solver differences are discussed to aid in understanding the optimization process.
Data fitting programming Math 371
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Presentation Transcript
Use these estimated parameters to run the solution of the model(the initial point is the first data point in the data table)and compare with data points
I use ode23 here, you can use ode45 to obtain the same solution
The solution fits data reasonably well but not very well. Do we have a better method for parameter estimation and data fitting?
The solution fits data reasonably well but not very well. Do we have a better method for parameter estimation and data fitting? YES!
Direct Method Least-square data fitting
Revisit L-V predator-prey model Use the least-square method to fit data and estimate parameter values directly
You can use ode45 or other ODE solvers; use help files to check their differences
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