Probably simple - ode45 and lsqcurvefit
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This is probably really trivial, but what I need is a function that takes a vector of parameters and a vector of time and, with ode45, outputs the p values of the ode: dp/dt=b*p-d*p^2.
What I have is:
function dpdt=diffeqn(t,p,par)
b=par(1);
d=par(2);
dpdt=b*p-d*p^2
end
and then a separate script:
[year pdata]=ode45(@diffeqn,[year],p0,[],[0.015,0.001]);
disp(pdata)
This does work fine for what is needed, but I think I need this all in one function, in order to call it in a lsqcurvefit command.
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Star Strider
2014-5-26
Not trivial, but not obvious either. I did this a while back in my answer to Monod kinetics and curve fitting.
Your equations are fine. To use lsqcurvefit, you just need to wrap them inside the objective function you send to it.
You can even include the initial conditions in the parameters to be estimated if necessary. That’s something we can discuss later if you need to do it.
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