1. Data fitting programming Math 371 Hao Wang University of Alberta

3. Can we do better? x .

10. c*x-r

12. 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

15. I use ode23 here, you can use
ode45 to obtain the same solution

17. The solution fits data reasonably well but not very well
The solution fits data reasonably well but not very well. Do we have a better method for parameter estimation and data fitting?

18. The solution fits data reasonably well but not very well
The solution fits data reasonably well but not very well. Do we have a better method for parameter estimation and data fitting?
YES!

19. Direct Method
Least-square data fitting

20. Revisit L-V predator-prey model
Use the least-square method to fit data and estimate parameter values directly

24. You can use ode45 or
other ODE solvers; use
help files to check their
differences

26. Almost perfect data fitting!

28. a b c r