How can i do parameter evaluation of nonlinear differential equation?

here is my equations:
dx/dt = u*x-a*x
ds/dt = b*u*x+c*x
dp/dt = d*u*x+e*x+f*p
and u = um*s/(km+s+s^2/ki)
the parameters a,b,c,d,e,f is already known, and i have 3 arrays of data of x,s,p, and the parameter i want to identify is um,km,and ki.
i tried Nonlinear Curve fitting ,but i don't know whether it can deal with the differential equation

Hope you are executing the commands in the following order:
1. sdm jstartup mode=standalone
2. sdm registerjstartup sdmhome=<...> jstartupdir=<...> mshost=<...> msport=<...>
where:
        jstartupdir the directory in which the JStartup Framework software is installed
        mshost the host name of the message server
        msport the port on which the message server waits for requests
3. sdm jstartup mode=integrated
by the way, which OS u r using?
Regards,
Ravi.

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